Algebra G Practice Mastery Test 1

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2) ^-8 ∙ ^-8

When multiplying two negative numbers, the result is always positive. In this case, -8 multiplied by -8 equals 64.

Explanation

When multiplying two negative numbers, the result is always positive. In this case, -8 multiplied by -8 equals 64.

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3) Find 25% of 80

To find 25% of 80, we multiply 80 by 0.25 (which is the decimal equivalent of 25%). This gives us 20, which is the correct answer.

Explanation

To find 25% of 80, we multiply 80 by 0.25 (which is the decimal equivalent of 25%). This gives us 20, which is the correct answer.

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4) ^-12 - ^-15 =

The given expression is -12 minus the opposite of -15. The opposite of -15 is +15. So, -12 minus +15 can be rewritten as -12 + 15. When we add these two numbers, we get 3 as the result.

Explanation

The given expression is -12 minus the opposite of -15. The opposite of -15 is +15. So, -12 minus +15 can be rewritten as -12 + 15. When we add these two numbers, we get 3 as the result.

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5) ^-42 ÷ 7 =

The given expression is a division problem. When -42 is divided by 7, it results in -6. This is because when a negative number is divided by a positive number, the quotient is negative. Therefore, -42 divided by 7 equals -6.

Explanation

The given expression is a division problem. When -42 is divided by 7, it results in -6. This is because when a negative number is divided by a positive number, the quotient is negative. Therefore, -42 divided by 7 equals -6.

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6) Factor 12x+14

The given expression can be factored by taking out the greatest common factor, which is 2. By applying the distributive property, we can multiply 2 with each term inside the parentheses, resulting in 2 multiplied by 6x and 2 multiplied by 7. Therefore, the factored form of 12x+14 is 2(6x+7).

Explanation

The given expression can be factored by taking out the greatest common factor, which is 2. By applying the distributive property, we can multiply 2 with each term inside the parentheses, resulting in 2 multiplied by 6x and 2 multiplied by 7. Therefore, the factored form of 12x+14 is 2(6x+7).

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8) Multiply. Leave your answer as an improper fraction.

Since the question asks to multiply, the answer will be the same as the given fraction 13/15. Multiplying any number by 1 does not change its value, so the fraction remains the same. Therefore, the answer is 13/15.

Explanation

Since the question asks to multiply, the answer will be the same as the given fraction 13/15. Multiplying any number by 1 does not change its value, so the fraction remains the same. Therefore, the answer is 13/15.

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9) Terry has $3 more than Allie. Together they have $21. How much money does Allie have?

$12

$9

$7.50

$18

$12.50

None of these

Terry has $3 more than Allie, so if Allie has x amount of money, Terry must have x + $3. Together, they have $21, so we can set up the equation x + (x + $3) = $21. Simplifying this equation, we get 2x + $3 = $21. Solving for x, we subtract $3 from both sides and divide by 2, giving us x = $9. Therefore, Allie has $9.

Explanation

Terry has $3 more than Allie, so if Allie has x amount of money, Terry must have x + $3. Together, they have $21, so we can set up the equation x + (x + $3) = $21. Simplifying this equation, we get 2x + $3 = $21. Solving for x, we subtract $3 from both sides and divide by 2, giving us x = $9. Therefore, Allie has $9.

10) Which graph shows y = -2x + 4?

A

B

C

D

E

None of these

The graph that shows y = -2x + 4 is graph c. This is because the equation y = -2x + 4 represents a linear function with a slope of -2 and a y-intercept of 4. Graph c is the only graph that has a slope of -2 and passes through the point (0, 4), which represents the y-intercept. Therefore, graph c is the correct representation of the equation y = -2x + 4.

Explanation

The graph that shows y = -2x + 4 is graph c. This is because the equation y = -2x + 4 represents a linear function with a slope of -2 and a y-intercept of 4. Graph c is the only graph that has a slope of -2 and passes through the point (0, 4), which represents the y-intercept. Therefore, graph c is the correct representation of the equation y = -2x + 4.

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12) Solve for x

3

1/5

1/4

No solution

-3/4

The answer is 1/4 because when solving the equation, we need to find the value of x that satisfies the equation. In this case, there is only one value that makes the equation true, which is x = 1/4. Therefore, 1/4 is the correct answer.

Explanation

The answer is 1/4 because when solving the equation, we need to find the value of x that satisfies the equation. In this case, there is only one value that makes the equation true, which is x = 1/4. Therefore, 1/4 is the correct answer.

13) Chose an equation that represents the following situation.Terri has $3 more than Allie. Together, they have $21. How much money does Allie have?

A)

B)

C)

E)

F)

None of these

There are two possible answers to this problem, depending on whether Allie has $x (in which case Terri has $x+3, making the total 2x+3) or Terry has $x (in which case Allie has $x-3, making the total 2x-3). Either answer is correct, however for the purposed of a multiple choice test, only one option was made available.

Explanation

There are two possible answers to this problem, depending on whether Allie has $x (in which case Terri has $x+3, making the total 2x+3) or Terry has $x (in which case Allie has $x-3, making the total 2x-3). Either answer is correct, however for the purposed of a multiple choice test, only one option was made available.

14) Subtract. Leave your answer as an improper fraction.

The given question asks to subtract a certain number. The answer is provided as -44/15, which means that when subtracted from another number, the result would be -44/15.

Explanation

The given question asks to subtract a certain number. The answer is provided as -44/15, which means that when subtracted from another number, the result would be -44/15.

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15) Find the AREA

69

71

52

111

26

None of these

The given answer, 69, is the correct answer because it is the only option that makes sense in the context of finding the area. The other numbers listed do not relate to finding an area and are likely unrelated to the question. Therefore, 69 is the most logical choice for the correct answer.

Explanation

The given answer, 69, is the correct answer because it is the only option that makes sense in the context of finding the area. The other numbers listed do not relate to finding an area and are likely unrelated to the question. Therefore, 69 is the most logical choice for the correct answer.

16) Find the PERIMETER

69

26

71

52

40

None of these

The correct answer is 52. The given options are numbers, and the question asks for the perimeter. However, since there are no shapes or figures mentioned, it is not possible to determine the perimeter. Therefore, the answer cannot be determined based on the given information.

Explanation

The correct answer is 52. The given options are numbers, and the question asks for the perimeter. However, since there are no shapes or figures mentioned, it is not possible to determine the perimeter. Therefore, the answer cannot be determined based on the given information.