Free Printable Algebra Review Topics

1.

What are the highlighted numbers called?

a)

Exponents

b)

Coefficients

c)

Constants

d)

Terms

2.

What are the highlighted numbers called?

a)

Exponents

b)

Coefficients

c)

Terms

d)

Constants

3.

What are the highlighted number called?

a)

Exponent

b)

Coefficient

c)

Term

d)

Constant

4.

What is the variable in the following expression?

9z +12

a)

9

b)

Z

c)

+

d)

12

5.

Name the coefficient in the following expression:

8y +10

(a)

6.

What is the coefficient?

-b + 78

a)

b

b)

1

c)

78

d)

-1

7.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

8.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

9.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

10.

What is the coefficient of y?

8 + 5x - y

a)

8

b)

-1

c)

1

d)

-5

11.

A symbol for a number we don't know yet. This is usually a letter.

a)

coefficient

b)

sum

c)

variable

d)

term

12.

The number you see before a variable (Example: 6z, the 6 is the ________)

a)

coefficient

b)

variable

c)

term

d)

product

13.

The number before a variable is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

14.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

15.

Choose the algebraic expression that represents

"One-fourth of a number"

a)

$\frac{n}{4}$

b)

$\frac{4}{n}$

c)

4n

d)

n + 4

16.

Choose the algebraic expression that represents

"Four dollars cheaper than two times price n"

a)

4 - 2n

b)

2 (n - 4)

c)

2n - 4

d)

2n + 4

17.

Choose the algebraic expression that represents

"The product of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

$\frac{4}{n}$

18.

Choose the algebraic expression that represents

"Two times the difference of a number and four"

a)

2n - 4

b)

2 (n - 4)

c)

2 (4 + n)

d)

$2\left(\frac{4}{n}\right)$

19.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

20.

Translate: the sum of eight and the product of a number and nine

a)

$9x+8$

b)

$8x+9$

c)

$\frac{x}{9}+8$

d)

$9x-8$

21.

Translate: the square of the sum of a number and sixteen

a)

$x^2+16$

b)

$\left(x+16\right)^2$

c)

$\left(x-16\right)^2$

d)

$x^2-16$

22.

Match the following:

a)

$\sqrt[]{x}$

1.

the square root of a number

b)

$x^2$

2.

a number squared

c)

$\sqrt[3]{x}$

3.

the cube root of a number

d)

$x^3$

4.

a number cubed

23.

Translate: the sum of eleven and the square root of a number

a)

$\sqrt[]{x+11}$

b)

$\sqrt[]{x}+11$

c)

$x^2+11$

d)

$\left(x+11\right)^2$

24.

Translate: five times the sum of a number and four

a)

$5x+4$

b)

$5\left(x+4\right)$

c)

$5\left(4x\right)$

d)

$4\left(x+5\right)$

25.

Translate: thirteen less than the product of negative six and a number

a)

$13--6x$

b)

$13-6x$

c)

$6x-13$

d)

$-6x-13$

26.

Which of the following is an inequality?
_{¿Cuál de las siguientes es una desigualdad?}

a)

n+8

b)

m+4=10

c)

3x<10

d)

4x²+8

27.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

28.

Translate the expression:

" A number can be no more than 55 "

a)

$x\le55$

b)

$x<55$

c)

$x\ge55$

d)

$x>55$

29.

Translate the expression:

" Twice a number is at least 80 "

a)

$2x\ge80$

b)

$2x<80$

c)

$2x\le80$

d)

$2x>80$

30.

Solve for x if x + 5 = 9

a)

x = 5

b)

x = 4

c)

x = 15

d)

x = -14

31.

Solve 10 = 7 - x for x.

a)

x = -17

b)

x = -3

c)

x = 3

d)

x = 17

32.

Which step contains an error?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No Error

33.

Which step contains an error?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No Error

34.

Solve for y.
$-(4y-8)=2(y+4)$

a)

$y=0$

b)

No Solution

c)

$y=6$

d)

$y=-2$

35.

Solve: $\frac{y}{5}-4=2$

(a)

36.

Solve the equation. $b+4\ =\ 2b-5$

a)

$b=5$

b)

$b=3$

c)

$b=9$

37.

Solve each equation. $\frac{3}{4}\left(x-13\right)=-2\left(9+x\right)$

a)

$x=-3$

b)

$x=3$

c)

$x=11$

38.

Consider each operation. Choose the operation that would eliminate all of the fractions from the equation. $\frac{3}{4}x+\frac{1}{2}=\frac{1}{3}x+3$

a)

Multiply both sides by 6.

b)

Multiply both sides by 12.

c)

Multiply both sides by 2.

39.

Consider each operation. Choose the operation that would eliminate all of the fractions from the equation. $\frac{2}{5}x+\frac{1}{10}=\frac{1}{2}x$

a)

Multiply both sides by 5.

b)

Multiply both sides by 10.

c)

Multiply both sides by 2.

40.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

Algebra Review Topics

Total questions: 40

Worksheet time: 51mins

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