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Algebra Review Quiz #1 Expressions/Equations/Inequalities

Total questions: 30

Worksheet time: 53mins

Name
Class
Date
1.

Which statement cannot be justified by one of the properties of real numbers?

a)

(a+b)+c=a+(b+c)

b)

a - (b/c)=(a - b) /c

c)

(ab)c=a(bc)

d)

(a+b) + 0 = 0+(a+b)

e)

a(b-c) = ab-ac

2.

The statement “If (1/2)x=-5, then x=-10.”

Which of the following properties was used to find this solution

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Commutative Property of Division

e)

Associative Property of Subtraction

3.

Which property justifies rewriting

3x-5x as (3-5)x

a)

Associative property of multiplication

b)

Distributive Property

c)

Community Property of Subtraction

d)

Transitive Property

e)

Reflexive Property

4.

Simplify the expression above:

a)

-64/3=-21.3333...

b)

8

c)

-8

d)

4

e)

-4

5.

Frank, who is the youngest member of his basketball team at Frenchview High School, is 7 years less than one-half the age of the coach. If the coach is n years old, which expression decides Frank's age?

a)

1/2n-7

b)

2n+7

c)

7-1/2n

d)

2n-7

e)

7-2n

6.

Simply:

a)

-8

b)

-4

c)

-2

d)

6/5

e)

2

7.

Find the value of the expression below when x=-4 and y=2

-3x2y+4x

a)

-112

b)

-88

c)

40

d)

-12x3y

e)

The expression is already simplified

8.

the formula for the surface area of a cylinder is SA=2πr(h+r). What is the surface area of a cylinder with r=3 cm and h=4 cm?

a)

28π cm2

b)

32π cm2

c)

36π cm2

d)

42π cm2

e)

48π cm2

9.

Select ALL the values of x that make the following inequality true.

-3(x+1)>15

a)

0

b)

-5

c)

-6

d)

-6.5

e)

-12

10.

What is the solution to the equation above?

a)

n=-34

b)

n=-19

c)

n=-14

d)

n=8.5

e)

n=14

11.

What is the solution to the inequality below:

-2x+6>3x-9

a)

x>-3

b)

-3>x

c)

x>3

d)

3>x

e)

15>x

12.

Find the solution to the equation above:

a)

-9

b)

1.5

c)

3.2

d)

4.3333...

e)

9

13.

The volume formula for a pyramid is given by the equation above. Which equation solves this formula for h?

a)

h=1/3V(b)

b)

h=3V(b)

c)
d)
e)
14.

What is the value for t in the equation?

2/3t - 6 =15

a)

6

b)

9

c)

14

d)

31.5

e)

63

15.

Francisca's property has a shape of a parallelogram with the dimensions shown. If the perimeter of the property is 300 feet what is the length of the shorter side?

a)

120 ft

b)

90 ft

c)

60 ft

d)

45 ft

e)

15 ft

16.

Which inequality represents all possible solution of the inequality above?

a)
b)
c)
d)
e)

None of these are correct, d is greater than 2

17.

Which statement is an accurate interpretation of the student's work?

a)

The correct solution is x=11

b)

The student made an error in Step 1

c)

The student made an error in Step 2

d)

The student made an error in Step 3

e)

The solution to the equation in Step 2 is x=11, but this is not a solution to the original equation

18.

What step would I do second?

(4 - 2)² x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

e)

squaring

19.

Derek uses a $50 gift card to purchase 3 books for $12 each and a calendar for $9. Which expression represents the amount of money left on the gift card?

a)

50 - 123 - 9

b)

50 - 3(12 + 9)

c)

(3)(12) + 9

d)

50 - (3)(12) - 9

e)

50- 3(12-9)

20.

Which of the following is equivalent to the expression below?


4x + 3(2x - 1) - 4x

a)

6x - 3

b)

6x + 3

c)

14x - 3

d)

14x + 3

e)

3x

21.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

e)

All Real Numbers

22.

−2|−2r − 4| = -12

a)

{5,-1}

b)

{-5,1}

c)

{-5}

d)

{-1}

e)

No Solution

23.
a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

e)

a>3 or a< 9

24.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

e)

None of the above

25.

Write an expression.

Anita needs at least an 90 grade (g) on her test to get an A in math class.

a)

g ≤ 90

b)

g ≥ 90

c)

g < 90

d)

g > 90

e)

g = 90

26.

1-4x≤21 or 5x≥25

a)

x≥ -5 or x≥5

b)

x≤ -4 and x≤ 8

c)

No Solutions

d)

All Real Numbers

e)

None of the above

27.

Solve

a)

8

b)

38

c)

34

d)

14

e)

All Real Numbers

28.

Solve

a)

2

b)

-27/7

c)

-32/7

d)

27/7

e)

All real numbers

29.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

e)

Not enough information

30.

Select all numbers that are rational numbers.

a)
b)
c)
d)
e)