Free Printable Topic 4 Unit Assessment Review

1.

Evaluate $8.4n+3.2p$ when $n=2\ and\ p=4$

a)

30

b)

29.6

c)

43.5

d)

27.8

2.

Expand and simplify the following expression: $2\left(11x-7\right)$

a)

$22x-14$

b)

$22x-7$

c)

$22x+14$

d)

$11x+7$

3.

Expand and simplify the following expression: $6\left(6x-3y+4\right)$

a)

$54xy+24$

b)

$36x-3y+4$

c)

$36x-18y+24$

d)

$36x-3y+24$

4.

When and expression contains "like terms" it means:

a)

that the terms within the expression contain the same variable (i.e., 4x+6x)

b)

that the terms within the expression contain different variables (i.e., 4x+6y)

c)

that the expression does not contain any variables and only contains numbers

5.

Which expression represents the area of the shaded region?

a)

6x + 19

b)

19x + 6

c)

9x + 84

d)

9x + 6

6.

Simplify the following expression: $4x+7x-2y+8y$

a)

$11x-2y+8y$

b)

$11x+6y$

c)

$4x+7x+6y$

7.

Expand and simplify the following expression: $4\left(9x+5\right)$

a)

$36x+5$

b)

$36x+20$

c)

$9x+20$

8.

Expand and simplify the following expression: $9\left(5x-3x\right)$

a)

$45x-27x$

b)

$45x-3x$

c)

$18x$

d)

$5x-27x$

9.

Jason is comparing membership costs for two gyms. What is the difference in membership costs after m months if she joins Be Strong instead of Zippy Health Club?

Be Strong: $35/month and $55 to join

Zippy Health Club: $15/month and $15 off the 1st month

a)

50m + 70

b)

20m + 70

c)

20m + 40

d)

50m + 40

10.

Simplify the following expression: 5y-3y+23y

a)

$25y$

b)

$2y+23y$

11.

Simplify the following expression: $7x+3x+5$

a)

$10x+5$

b)

$15x$

12.

Evaluate 10.2x + 9.4y when x = 2 and y = 3.

a)

95.88

b)

17.9

c)

0.8

d)

48.6

13.

Evaluate 4.7j – 6.8k when j = 5 and k = 3.

a)

-19.9

b)

3.1

c)

2.4

d)

-2.1

14.

Simplify the following expression: 20x + 27y + 38y + 29x

a)

49y + 64x

b)

49y + 65x

c)

49x + 65y

d)

49x - 65y

15.

Expand and simplify the following expression: 7(3-5p)

a)

$10-12p$

b)

$21-35p$

c)

$5p-21$

d)

$21-5p$

16.

True or False: The two expressions below are equivalent?

6x-2x+4

and

4\left(x+1\right)

a)

True

b)

False

17.

Ernie signs up for a health club and a rock-climbing gym. What expression represents her total fitness cost after m months?

Health Club: $40 initial fee and $65/month

Rock-Climbing Gym: $50 initial fee and $80/month

a)

145m + 90

b)

105m + 130

c)

15m + 10

d)

120m + 115

18.

Which expression is equivalent to:

2x+10

a)

$2x+5$

b)

$2\left(x+5\right)$

c)

$2\left(x+1\right)$

d)

$2x+1$

19.

Which expression is equivalent to 5w - 15?

a)

5(w - 3)

b)

5w - 3

c)

5(w - 15)

20.

True or False: The two expressions below are equivalent.

$4\left(n+3\right)-\left(3+n\right)$ and $3n+9$

a)

True

b)

False

21.

Evaluate: $3d-4$ when $d=12$

a)

12

b)

40

c)

32

d)

15

22.

Which expression is equivalent to 2x+4y?

a)

$2\left(x+2y\right)$

b)

$2x+2y$

c)

$\left(x+2y\right)$

d)

$4\left(x+y\right)$

23.

Simplify: 3 + 9w – 7z + z + 3w

a)

12w - 6z + 3

b)

6z - 12w + 3

c)

8w - 6z + 4

d)

8w - 12z + 3

24.

Choose the two expressions that are equal to:

5\left(2x+3\right)

a)

$10x+15$

b)

$5x+15+5x$

c)

$10x+8$

d)

$10x+10$

25.

True or False: The expressions listed below are equivalent.

$5\left(g+14\right)$ and $5g+14$

a)

True

b)

False

26.

Simplify: –7(5x + 5) + 2(–8 – 10x)

a)

–55x – 51

b)

55x + 51

c)

55x – 51

d)

–55x – (–51)

27.

Find the sum: (3x + 5) + (2x + 3)

a)

6x + 15

b)

6x + 8

c)

5x + 8

d)

5x + 15

28.

A farmer recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage. Which is an equivalent expression for this situation?

a)

.88v

b)

1.12v

c)

112v

d)

.12v

29.

Find the sum: (x-1) + (2x+ 3)

a)

3x + 2

b)

2x² + 4

c)

3x + (-2)

d)

2x + 2

30.

Find the sum: (3w - 8) + (-6w - 4)

a)

-3w + 12

b)

9w + 12

c)

-3w - 12

d)

-9w - 12

31.

Find the sum: (−x + 8) + (−5x − 1).

a)

−6x + 7

b)

−4x + 7

c)

−6x − 8

d)

−6x + 8

32.

Write and simplify an expression to represent the perimeter of a triangle with the side lengths of: (x+4) feet, (2x+1) feet, and (3x-2) feet.

a)

(4x + 3) feet

b)

(6x + 5) feet

c)

(5x - 3) feet

d)

(6x + 3) feet

e)

None

33.

Find the sum: 4(2.5g - 4) + 3(1.2g - 2)

a)

13.6g - 22

b)

-13g - 22

c)

13.6g - 12

d)

-13g + 20

34.

Find the sum: (y + 2x + 5) + (3y - 3x +1)

a)

4y² - x² + 6

b)

3y - x + 6

c)

2y + x + 6

d)

4y - x + 6

35.

Find the sum: (7b -4) + (-2b+ a + 1)

a)

-5b - a + 5

b)

9b + a - 5

c)

5b + a - 3

d)

-9b + a - 5 -9b + a - 5

36.

Find the difference: (8 - u) - (5u + 1)

a)

6u + 7

b)

-4u + 7

c)

-6u + 7

d)

4u - 7

37.

A student received a coupon for 43% off the total purchase price at a clothing store. Let b represent the original price of the purchase. Use the expression below for the new price of the purchase. Which is an equivalent expression for this situation?

a)

57b

b)

.43b

c)

1.43b

d)

0.57b

38.

Find the difference: (6x + 3y + 4) – (8x + 9y)

a)

-2x - 6y

b)

-2x - 6y + 4

c)

2x + 6y + 4

d)

14x + 12y + 4

39.

Find the difference: (x + 9y + 5) – (-8x + 4y – 7)

a)

-7x + 5y + 12

b)

9x + 9y + 12

c)

-7x + 13y + 12

d)

9x + 5y + 12

40.

Find the difference: (5x - 6) - (x + 2)

a)

4x - 8

b)

4x - 4

c)

4x + 4

41.

Find the difference: (-11a + 7) – (11a – 7)

a)

-22a - 14

b)

0

c)

-22a + 14

d)

-22a

42.

An art teacher made a copy of a small painting. To make the painting easier to see, the teacher enlarged the area of the painting by 38%. Let d represent the area of the original painting. Which expression below is one way to represent the area of the new painting.

a)

.62d

b)

.38d

c)

1.38d

d)

138d

43.

Find the difference of 8m - 10v and 3v + 6m

a)

2m - 13v

b)

11m - 4v

c)

2m - 4v

d)

14m - 13v

44.

Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pound per month m.

a)

12 + 0.5m

b)

12m + 0.5

c)

12 - 0.5m

d)

12m - 0.5

45.

Simplify the following expression: -r - 10r

a)

11r

b)

-11r

c)

9r

d)

-11

46.

The manager of a store increases the price of a popular product by 5%. Let t be the original price of the product. Which is an equivalent expression for this situation?

a)

0.95t

b)

0.05t

c)

1.05t

d)

105t

47.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

48.

Expand and simplify -3( 2r + 5s).

a)

-6r - 15s

b)

-6r + 15s

c)

-6r - 15

d)

-6r + 2s

49.

Write a simplified expression for the perimeter of a triangle with side lengths of: (5x-3) yards, (5x-3) yards, and (6x-2) yards.

a)

(6x − 8) yards

b)

(10x − 6) yards

c)

(16x − 8) yards

d)

(14x − 8) yards

e)

None

50.

Expand and simplify the following expression: x(2 + 4y)

a)

2 + 4y

b)

2x + 4y

c)

2x + 4yx

d)

4xy

51.

Expand and simplify the following expression: 2(3x + 4b -7)

a)

5x + 6b - 5

b)

6x + 4b - 7

c)

6x + 8b - 14

d)

6x + 8b + 14

52.

Which expression is equivalent to: $\frac{3}{14}x\ +\left(-1\right)+\left(-4\right)-\frac{2}{7}x$

a)

b)

c)

d)

53.

Expand and simplify the following expression: -9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

54.

Use the GCF to factor the expression: 16w + 80m

a)

2(8w + 10m)

b)

16(w + 5m)

c)

4(4w + 20m)

55.

Expand and simplify -(2y - 1).

a)

-2y + 1

b)

-2y - 1

c)

2y + 1

d)

2y - 1

56.

Use the GCF to factor the expression: -9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

57.

Use the GCF to factor the expression: 12 - 4b + 16x

a)

4(b-12 +4)

b)

4(3-b+4x)

c)

-4(b+2-6x)

d)

-4(-3 - b - 4)

58.

Simplify the following expression: 5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

59.

Simplify the following expression: -2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

60.

Simplify the following expression: 10x + 36 - 38x - 47

a)

-28x + 11

b)

28x - 11

c)

28x + 11

d)

-28x - 11

Topic 4 Unit Assessment Review

Total questions: 60

Worksheet time: 2hrs 0mins

Similar Resources on Wayground