# Algebra 1 Final Exam

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• 1.

### Simplify  the following expression. 2r + 4 +10

• A.

−3 r

• B.

16r

• C.

2r +14

C. 2r +14
Explanation
The given expression is 2r + 4 + 10. To simplify this expression, we can combine the constants (4 and 10) to get 14. So, the simplified expression is 2r + 14.

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• 2.

### Simplify  the following expression. 1 + 10m - 8m

• A.

19m

• B.

2m +1

• C.

-2m +1

B. 2m +1
Explanation
The given expression is 1 + 10m - 8m. To simplify, we can combine like terms by adding the coefficients of m. The coefficient of m is 10 - 8 = 2. Therefore, the simplified expression is 2m. Since there are no other terms in the expression, the final simplified expression is 2m + 1.

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• 3.

### Simplify  the following expression. 2b + 9 + b -1

• A.

3b + 8

• B.

13b + 8

• C.

11b

A. 3b + 8
Explanation
The given expression is a combination of terms with the variable b. To simplify the expression, we can combine like terms. The terms 2b and b can be combined to give 3b. The terms 9 and -1 can be combined to give 8. Therefore, the simplified expression is 3b + 8.

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• 4.

### Simplify  the following expression. 1 - 9n + 5n

• A.

13n + 1

• B.

14n + 1

• C.

-4n + 1

C. -4n + 1
Explanation
The given expression is simplified by combining like terms. In this case, we have -9n and +5n, which can be combined to give -4n. So, the simplified expression is -4n + 1.

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• 5.

### Simplify  the following expression. 9k + 2 + 6k - 9

• A.

20k - 7

• B.

15k -7

• C.

2 - 14k

B. 15k -7
Explanation
To simplify the expression, we can combine like terms. The like terms in the expression are 9k and 6k, which can be added together to give 15k. The constants 2 and -9 can also be combined to give -7. Therefore, the simplified expression is 15k - 7.

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• 6.

### Simplify  the following expression. 4x + 2(5x + 2)

• A.

9x + 4

• B.

13x

• C.

14X + 4

C. 14X + 4
Explanation
The expression can be simplified by applying the distributive property. First, distribute the 2 to both terms inside the parentheses: 2(5x) + 2(2) = 10x + 4. Then combine like terms by adding the coefficients of the x terms: 4x + 10x = 14x. Finally, combine the constant terms: 14x + 4.

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• 7.

### Simplify  the following expression. 5 + -3(5x -3)

• A.

10 x - 6

• B.

-15x -4

• C.

2x -3

B. -15x -4
Explanation
The given expression is simplified by applying the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the results. In this case, we multiply -3 by both 5x and -3, resulting in -15x and 9, respectively. Then, we add 5 to -15x and 9, giving us the simplified expression -15x + 14. Therefore, the correct answer is -15x - 4.

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• 8.

### Simplify  the following expression. 7x + 4(5x + 2)

• A.

14x + 4

• B.

6 + 12x

• C.

27x + 8

C. 27x + 8
Explanation
The given expression can be simplified by distributing the 4 to both terms inside the parentheses. This results in 7x + 20x + 8. Combining like terms, we get 27x + 8.

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• 9.

### Evaluate Each Expression (-3) - (-3) + (-8)

• A.

-13

• B.

-11

• C.

-8

C. -8
Explanation
In the given expression, we have (-3) - (-3) + (-8). When we subtract a negative number from a negative number, it is equivalent to adding the positive of that number. Therefore, (-3) - (-3) can be simplified to (-3) + 3, which equals 0. Adding 0 to (-8) gives us -8 as the final result.

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• 10.

### Evaluate Each Expression 7 + (-3) - (-6)

• A.

18

• B.

10

• C.

12

B. 10
Explanation
The given expression is 7 + (-3) - (-6). To solve this, we start by evaluating the negative signs. The negative sign before the 3 means that we subtract 3 from 7, giving us 4. The negative sign before the 6 means that we add 6 to the result, giving us 10. Therefore, the correct answer is 10.

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• 11.

### Evaluate Each Expression (-7) + 6 + 7

• A.

20

• B.

12

• C.

6

C. 6
Explanation
The given expression is (-7) + 6 + 7. To solve this, we start by adding the numbers inside the parentheses, which gives us -1. Then, we add 6 and 7 to get 13. Therefore, the final answer is 13.

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• 12.

### Evaluate Each Expression (-4) + (-7) + 7

• A.

-12

• B.

-7

• C.

-4

C. -4
Explanation
The expression (-4) + (-7) + 7 can be simplified by adding the negative numbers first. When we add -4 and -7, we get -11. Then, we add 7 to -11, resulting in -4. Therefore, the correct answer is -4.

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• 13.

### Evaluate Each Expression 5 + 3 - 7 + 12

• A.

15

• B.

13

• C.

3

C. 3
Explanation
The correct answer is 3. To evaluate the expression, we follow the order of operations (PEMDAS/BODMAS). First, we perform the addition and subtraction from left to right. 5 + 3 equals 8, then subtracting 7 gives us 1. Finally, adding 12 gives us the final result of 13.

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• 14.

### Find slope  HINT (RISE OVER RUN)

• A.

5/2

• B.

5/1

• C.

1/6

B. 5/1
Explanation
The slope is determined by the change in the y-coordinate divided by the change in the x-coordinate. In this case, the change in the y-coordinate is 5 and the change in the x-coordinate is 1. Therefore, the slope is 5/1.

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• 15.

### Find slope  HINT (RISE OVER RUN)

• A.

- 9/5

• B.

-5/9

• C.

- 3/4

A. - 9/5
Explanation
The slope can be found by calculating the rise over the run. In this case, the rise is -9 and the run is 5. Therefore, the slope is -9/5.

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• 16.

### TELL ME WHERE POINT (H) IS LOCATED

• A.

(-8,2)

• B.

(2,-8)

• C.

(5, 7)

A. (-8,2)
Explanation
The point (H) is located at coordinates (-8,2) on the coordinate plane.

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• 17.

### TELL ME WHERE POINT (I) IS LOCATED

• A.

(6, 5)

• B.

(8, 5)

• C.

(-9, -9)

C. (-9, -9)
Explanation
The point (I) is located at (-9, -9) because it is the only option that matches the given coordinates. The other options (6, 5) and (8, 5) do not match the given coordinates.

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• 18.

### TELL ME WHERE POINT (K) IS LOCATED

• A.

(4,-3)

• B.

(4,-5)

• C.

(-5,5)

B. (4,-5)
Explanation
The point (K) is located at the coordinates (4,-5).

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• 19.

### TELL ME WHERE POINT (I) IS LOCATED

• A.

(-9,-7)

• B.

(-9,-9)

• C.

(-9,-8)

B. (-9,-9)
Explanation
The point (I) is located at (-9,-9) because it is the only option that matches the given coordinates. The x-coordinate is -9 and the y-coordinate is also -9, which is consistent with the given answer choice.

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• 20.

### TELL ME WHERE POINT (J) IS LOCATED

• A.

(8,7)

• B.

(7,-9)

• C.

(7, 6)

B. (7,-9)
Explanation
The correct answer is (7,-9) because it is the only option that matches the given coordinates. The point (J) is located at the coordinates (7,-9) on the coordinate plane.

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• 21.

### SOLVE FOR X (REMEMBER TO BACKTRACK) -6x = -120

• A.

20

• B.

-20

• C.

114

A. 20
Explanation
To solve for x, we need to isolate x on one side of the equation. In this case, we have -6x = -120. To get rid of the coefficient -6, we divide both sides of the equation by -6. This gives us x = -120 / -6 which simplifies to x = 20. Therefore, the correct answer is 20.

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• 22.

### SOLVE FOR K (REMEMBER TO BACKTRACK) )   k + (1 * 9) = 0

• A.

2

• B.

0

• C.

-9

C. -9
Explanation
The equation given is k + (1 * 9) = 0. To solve for k, we need to isolate k on one side of the equation. We can do this by subtracting 9 from both sides of the equation. This gives us k = -9. Therefore, the correct answer is -9.

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• 23.

### SOLVE FOR P (REMEMBER TO BACKTRACK) ) 11 + p = 30

• A.

17

• B.

18

• C.

19

C. 19
Explanation
To solve the equation 11 + p = 30, we need to isolate the variable p. To do this, we can subtract 11 from both sides of the equation. This gives us p = 30 - 11, which simplifies to p = 19. Therefore, the correct answer is 19.

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• 24.

### SOLVE FOR X (REMEMBER TO BACKTRACK) ) (4x) + 4 = 12

• A.

1

• B.

2

• C.

3

B. 2
Explanation
The correct answer is 2 because if we subtract 4 from both sides of the equation, we get 4x = 8. Then, if we divide both sides by 4, we find that x = 2.

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• 25.

### SOLVE FOR R (REMEMBER TO BACKTRACK) -3r - 5 = 7  )

• A.

-4

• B.

-5

• C.

13

A. -4
Explanation
The correct answer is -4. To solve for R, we need to isolate the variable. First, we can start by adding 5 to both sides of the equation to get -3r = 12. Then, we can divide both sides by -3 to solve for R, which gives us R = -4.

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• 26.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.

• A.

Linear

• B.

Verticle

• C.

Alternate exterior

A. Linear
Explanation
The given answer is correct because the angles mentioned in the question are all part of a straight line, making them linear angles.

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• 27.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.

• A.

Alternate exterior

• B.

Same side interior

• C.

Verticle Angle

C. Verticle Angle
• 28.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear..

• A.

Alternate interior

• B.

Same side interior

• C.

Same side exterior

B. Same side interior
Explanation
Same side interior angles are a pair of angles that are on the same side of the transversal line and on the interior of the two parallel lines. In this case, the given pair of angles are on the same side of the transversal line and are on the interior of the two parallel lines. Therefore, the correct identification for this pair of angles is same side interior.

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• 29.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.

• A.

Alternate exterior

• B.

Alternate interior

• C.

Verticle

B. Alternate interior
Explanation
Alternate interior angles are formed when a transversal intersects two parallel lines. In this case, the given angles are alternate interior angles because they are on opposite sides of the transversal and are inside the two parallel lines.

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• 30.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.

• A.

Alternate exterior

• B.

Alternate interior

• C.

Corresponding

C. Corresponding
Explanation
The given answer "Corresponding" is correct because when two lines are crossed by another line (known as a transversal), the angles that are in the same position on each line are called corresponding angles. In this case, the angles mentioned in the question are corresponding angles because they are in the same position on each line that is being crossed by the transversal.

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• 31.

### Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.

• A.

Alternate interior

• B.

Alternate exterior

• C.

Corresponding

B. Alternate exterior
Explanation
Alternate exterior angles are formed when a transversal intersects two parallel lines. In this case, the given angles are located on the opposite sides of the transversal and on the exterior of the parallel lines. Therefore, the correct answer is "Alternate exterior."

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• 32.

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