Free Printable AdvM7: QUIZ REVIEW (Lessons 4-1 to 4-4)

1.

Use the distributive property to find an equivalent expression of: 5(7m + 9)

a)

35 + 45

b)

35m + 45

c)

7m + 45

d)

80m

2.

Use the distributive property to find an equivalent expression of: 4(b + 6n)

a)

4b + 24n

b)

b + 6n

c)

4 + 6n

d)

28bn

3.

Combine the like terms to create an equivalent expression of:
6m + 4m + 3c + 2c

a)

11m + 6c

b)

10m + 3c + 5c

c)

10m + 5c

d)

15mc

4.

Combine the like terms to create an equivalent expression of:
3d + 4g - 2d + 7g + 5

a)

5d + 11g + 5

b)

5d - 11g + 5

c)

d + 11g +5

d)

d + 16g

5.

Write an algebraic expression for:
6 minus a number

a)

n - 6

b)

6 - n

c)

6n

d)

6 + n

6.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

7.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

8.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

9.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

10.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

11.

Three times the difference of a number and 7

a)

3x - 7

b)

3(x - 7)

c)

3(x + 7)

d)

3(7) - y

12.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

13.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

14.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

15.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

16.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

17.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

18.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

19.

Which is not a Like Term?

a)

2x

b)

-13x

c)

-13

d)

-2x

20.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

21.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

22.

a)

7x²+3x+5

b)

9x²+4x+5

c)

4x +9x²+5

d)

9x²+3x+5

23.

a)

8y+5

b)

3y+3

c)

7y+5

d)

7y+4

24.

a)

6x-1

b)

10x+7

c)

6x+1

d)

8x+1

25.

a)

2x²+13y+5

b)

2x²+13y-5

c)

x²-y-5

d)

4x²-13y-5

26.

a)

x+y+1

b)

15x+19y+11

c)

-x-y-1

d)

-15x-19y-11

27.

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

a)

commutative property

b)

associative property

c)

distributive property

28.

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

a)

commutative property

b)

associative property

c)

distributive property

29.

Determine which equation shows associative property.

a)

2 + 4 + 6 = 6 + 4 + 2

b)

(2 + 4) + 6 = 2 + (4+6)

c)

2 (6-4) = 2(6) - 2(4)

d)

(2+4) + 6 = (4+2)+6

30.

Determine which equation shows commutative property.

a)

7 + 3 = 10

b)

7 + 3 = 3 + 7

c)

2 x 6 = 3 x 4

d)

2(4-3) = 2(4) - 2(3)

31.

Write a word phrase to represent the following algebraic expression:

$\frac{z}{8}-9$

a)

the quotient of 8 and a number minus 9

b)

the product of 8 and a number minus 9

c)

the quotient of a number and 8 minus 9

d)

9 less than the quotient of a number and 8

32.

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

a)

30 - 25m

b)

30m - 25

c)

30 + 25m

d)

30m + 25

33.

The price of a visit to the dentist is $150. If the dentist fills any cavities, there is an additional charge of $50 per cavity. If the dentist finds "c" cavities, what is the cost of a visit?

a)

200c

b)

200 + c

c)

150c + 50c

d)

150 + 50c

34.

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

a)

10h + 25

b)

10h - 25

c)

10h - 25h

d)

10h + 25h

35.

Mr. Marcin is making bags of prizes for hardworking students. He has 92 prizes and splits them evenly into b bags. Which expression represents this situation?

a)

$92\ +\ b$

b)

$92\ -\ b$

c)

$92b$

d)

$92\ \div b$

36.

Shawn and his friends are going to the NC State fair. It costs $12 to park their car. Tickets to get in are $10 per person (p). Which expression represents how much money they will spend?

a)

12p + 10p

b)

12p - 10p

c)

12p + 10

d)

12 + 10p

37.

What expression would best represent the following word problem:

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee.

a)

25m

b)

20m + 5

c)

5m + 20

d)

5m

38.

What expression would best represent the following word problem:

A small pool started with 75 gallons of water and has a leak that decreases the amount of water by 8 gallons every hour.

a)

-8h

b)

75 + 8h

c)

75 - 8h

d)

75h - 8

39.

A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?

a)

50x + 40; $290

b)

50x + 40x; $450

c)

50 + 40x; $250

d)

90x; $450

40.

Beth sells candy and gum for a fundraiser. She sells packs of gum for $3 each and candy bars for $5 each. Which expression would determine the amount of money for any amount of gum, g, and candy, c?

a)

8cg

b)

3c + 5g

c)

3g + 5c

d)

3g - 5c

AdvM7: QUIZ REVIEW (Lessons 4-1 to 4-4)

Total questions: 40

Worksheet time: 1hrs 28mins

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