Free Printable Algebra Concepts

1.

A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarines elevation?

a)

14

b)

-14

c)

-50

d)

50

2.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

3.

Going left on the number line means what?

a)

Negative

b)

Positive

4.

Solve the following:

-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

5.

Simplify the expression.
-b + 2 + 9b

a)

2 + 8b

b)

2 - 8b

c)

-8b + 2

d)

-2 - 8b

6.

Simplify the expression.
2m - 8 - 2m - 1

a)

0

b)

9

c)

-9

d)

4m - 9

7.

Simplify the expression
-5 + 9

a)

4

b)

15

c)

-4

d)

-14

8.

Simplify the expression.
- 20 + 7

a)

13

b)

-13

c)

-27

d)

27

9.

When you multiply a positive number by a negative number you will get _________________

a)

a positive answer

b)

a negative answer

c)

depends which number is bigger

d)

zero

10.

$3\left(k-6\right)$

a)

$3k-18$

b)

$-36+18k$

c)

$-28+18k$

d)

$-k-1$

11.

What is another way to write:

2 - (- 2)

a)

2 - 2

b)

2 + 2

c)

2 + -2

d)

2 - +2

12.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

13.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

14.

Is (7a + 4 - 2a) equivalent to (7a + -2a + 4) ?

a)

no

b)

yes

15.

-3 + (-2)

a)

-5

b)

5

c)

1

d)

-1

16.

The number in front of a variable.

a)

Term

b)

Constant

c)

Coefficient

d)

Factor

17.

Letters or symbols that represent different values.

a)

Coefficient

b)

Variable

c)

Factor

d)

Term

18.

Number with no variable.

a)

Constant

b)

Factor

c)

Term

d)

Coefficient

19.

$5^2-10\div2\times4$

a)

4

b)

5

c)

80

d)

160

20.

A(n) _________ consist of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

21.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

22.

Name the coefficient of 9h + 12

a)

6

b)

12

c)

9

d)

1

23.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

24.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

25.

In $12x^2-12x+33,$ what is the constant?

a)

$12x$

b)

$33$

c)

$x$

d)

$12x^2$

26.

A(n) __________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

27.

How many terms are in the given expression?

5x + 7n - 2

a)

6

b)

5

c)

3

d)

2

28.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

29.

How many terms are there in $2x^3+3x+4y+6?$

a)

1

b)

2

c)

3

d)

4

30.

In the algebra expression: 5x - 3 + y, what is the 5?

a)

variable

b)

coefficient

c)

constant

d)

equation

31.

Which is not an algebra expression?

a)

17 + 3xy

b)

3x + 7y

c)

3 + 17

d)

3x(7y + 10)

32.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

33.

7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

34.

5(2x -1) = -5+ 10x

a)

x = 5

b)

x = 0

c)

all real numbers

d)

no solution

35.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

36.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

37.

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

a)

42

b)

46

c)

34

d)

58

38.

Expand (x + 5)²

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

39.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

40.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

41.

Is the points (-4, 4) a solution to the system of equations?

a)

Yes

b)

No

42.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

43.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

44.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

45.

Solve the following system by using elimination:

3x - 5y = 8

2x + 5y = -3

a)

(1, 5)

b)

(1, -1)

c)

(-1, -1)

46.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

47.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

48.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

49.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

50.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

Algebra Concepts

Total questions: 50

Worksheet time: 2hrs 12mins

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