Chapter 4 Practice Test

1) Evaluate 4m + 9 for m = 3.

19

16

21

25

To evaluate 4m + 9 for m = 3, we substitute the value of m into the expression. Therefore, 4(3) + 9 = 12 + 9 = 21.

Explanation

To evaluate 4m + 9 for m = 3, we substitute the value of m into the expression. Therefore, 4(3) + 9 = 12 + 9 = 21.

2) Which of the following is an algebraic expression for the phrase: 6 times x school buses.

6x

6 + x

X - 6

6 / x

The phrase "6 times x school buses" indicates that we need to multiply the number of school buses (represented by x) by 6. Therefore, the algebraic expression for this phrase is 6x.

Explanation

The phrase "6 times x school buses" indicates that we need to multiply the number of school buses (represented by x) by 6. Therefore, the algebraic expression for this phrase is 6x.

3) Solve: w + 3 = 8

11

5

-5

7

The given equation is w + 3 = 8. To solve for w, we need to isolate w on one side of the equation. Subtracting 3 from both sides, we get w = 5. Therefore, the correct answer is 5.

Explanation

The given equation is w + 3 = 8. To solve for w, we need to isolate w on one side of the equation. Subtracting 3 from both sides, we get w = 5. Therefore, the correct answer is 5.

4) Solve: $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»d«/mi»«mn»8«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mn»11«/mn»«/math»$

88

-88

80

16

not-available-via-ai

Explanation

not-available-via-ai

5) Evaluate x - 2m for x=15 & m=3.

7

9

39

26

PEMDAS!!

Explanation

PEMDAS!!

6) Solve: 14 = 2y

14

7

28

12

The equation 14 = 2y can be solved by dividing both sides of the equation by 2. This gives us y = 7, which means that when y is equal to 7, the equation is true. Therefore, the correct answer is 7.

Explanation

The equation 14 = 2y can be solved by dividing both sides of the equation by 2. This gives us y = 7, which means that when y is equal to 7, the equation is true. Therefore, the correct answer is 7.

7) Anna is making a beaded bracelet for her friend. She had beads that are $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/math»$ inch thick. Anna wants the bracelet to be 7 inches around. How many beads should she use?

14

15

16

17

Use the equation $«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»§#183;«/mo»«mo»§nbsp;«/mo»«mi»b«/mi»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mn»7«/mn»«/math»$

Explanation

Use the equation $«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»§#183;«/mo»«mo»§nbsp;«/mo»«mi»b«/mi»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mn»7«/mn»«/math»$

8) Which of the following is an algebraic expression for the phrase: 5 fewer than w watermelons.

5 - w

W - 5

4w - 3

W + 4

The phrase "5 fewer than w watermelons" indicates that we are subtracting 5 from the number of watermelons, w. Therefore, the algebraic expression for this phrase is w - 5.

Explanation

The phrase "5 fewer than w watermelons" indicates that we are subtracting 5 from the number of watermelons, w. Therefore, the algebraic expression for this phrase is w - 5.

9) Solve: n - 4 = -1

3

-5

-3

1

Watch your signs! -1 + 3 = 2

Explanation

Watch your signs! -1 + 3 = 2

10) Solve: 12.99 = m + 6.8

12.31

19.7

6.19

6.8

Line up the decimal points when adding or subtracting fractions!!

Explanation

Line up the decimal points when adding or subtracting fractions!!

11) Solve: -10 = n - 6

-16

8

16

-4

Watch the signs! If you need to use the circle method, then use it!

Explanation

Watch the signs! If you need to use the circle method, then use it!

12) Solve: $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mi»n«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mfrac»«mn»1«/mn»«mn»4«/mn»«/mfrac»«/math»$

1

not-available-via-ai

Explanation

not-available-via-ai

13) Solve: -5t = 25

5

4

125

-5

Remember to watch your signs. Positive / negative = negative

Explanation

Remember to watch your signs. Positive / negative = negative

14) -4b = -3.2

0.8

-0.8

8.0

-.008

Watch your signs. Watch your decimal when you divide.

Explanation

Watch your signs. Watch your decimal when you divide.

15) Solve: $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»3«/mn»«mn»10«/mn»«/mfrac»«mi»t«/mi»«mo»§nbsp;«/mo»«mo»=«/mo»«mo»§nbsp;«/mo»«mn»24«/mn»«/math»$

240

80

-16

300

Multiply both sides by 10/3 to get t by itself.

Explanation

Multiply both sides by 10/3 to get t by itself.

16) A video store charges $2.75 per day for overdue video games. You owe a late fee of $13.75. How many days overdue is the game?

6

5

4

3

Use the equation d = 13.75 / 2.75

Explanation

Use the equation d = 13.75 / 2.75

17) Your family drives from Yorba Linda to Tampa, Florida. The trip is about 2,508miles and lasts four days. How many miles must your family drive each day?

10,032

2,512

627

2,504

Use the equation d = 2508/4

Explanation

Use the equation d = 2508/4

18) Solve: $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»p«/mi»«mrow»«mo»-«/mo»«mn»5«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mo»-«/mo»«mn»15«/mn»«/math»$

3

-75

75

20

Remember to watch your signs! negative x negative = positive

Explanation

Remember to watch your signs! negative x negative = positive

19) Evaluate «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mn»7«/mn»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»3«/mn»«mo»§nbsp;«/mo»«mo»§#183;«/mo»«mo»§nbsp;«/mo»«mi»n«/mi»«mo»§nbsp;«/mo»«mi mathvariant=¨normal¨»for«/mi»«mo»§nbsp;«/mo»«mi»n«/mi»«mo»=«/mo»«mn»3«/mn»«/math»

«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mn»7«/mn»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»3«/mn»«mo»§nbsp;«/mo»«mo»§#183;«/mo»«mo»§nbsp;«/mo»«mi»n«/mi»«mo»§nbsp;«/mo»«mi mathvariant=¨normal¨»for«/mi»«mo»§nbsp;«/mo»«mi»n«/mi»«mo»=«/mo»«mn»3«/mn»«/math»

30

16

15

63

Remember PEMDAS!!!

Explanation

Remember PEMDAS!!!

20) In track practice, Armin ran a mile in 6 minutes. His mile time was 3.5 minutes faster than Michael's mile time. Which equation shows Michael's mile time?

M - 3.5 = 6

M + 3.5 = 6

6 - 3.5 = m

6 - m = 3.5

The equation m - 3.5 = 6 represents Michael's mile time. This equation states that if you subtract 3.5 minutes from Michael's mile time (m), it will equal 6 minutes, which is the time Armin took to run a mile.

Explanation

The equation m - 3.5 = 6 represents Michael's mile time. This equation states that if you subtract 3.5 minutes from Michael's mile time (m), it will equal 6 minutes, which is the time Armin took to run a mile.