Free Printable Quiz; Algebra drills & basics + linear systems

1.

7 + g = 11

a)

g = 4

b)

g = -4

c)

g = 18

d)

g = -18

2.

z/4 = -8

a)

z = -32

b)

z = 32

c)

z = 2

d)

z = -2

3.

Match the following equations to their solutions.

a)

$6=x+3$

1.

x = 3

b)

$2x=4$

2.

x = 2

c)

$\frac{x}{5}=3$

3.

x = 15

d)

$x-7=1$

4.

x = 8

e)

$6x=54$

5.

x = 9

4.

Solve for the unknown variable:

$x+5=8$

(a)

5.

Solve for the unknown variable:

$m+9=2$

(a)

6.

$-11p\ =\ -44$

a)

p = -55

b)

p = -33

c)

p = 484

d)

p = 4

7.

$\frac{n}{2\ }=\ -6$

a)

n = -12

b)

n = -4

c)

n = -3

d)

n = -8

8.

Student Practice: (Solve for M)

12 + m = 34

a)

m=20

b)

m=22

c)

m=34

9.

What is the Inverse Operation for Multiplication?

a)

Division

b)

Addition

c)

Subtraction

10.

What is the Inverse Operation of Addition?

(a)

11.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

12.

What is the first step in this equation?

3x + 5 = 20

a)

Add 5 and 20

b)

Subtract 5 from both sides of the equation

c)

Add 3 and 5

d)

Multiply 3 by 5

13.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

14.

Solve the following equation:

$\frac{x}{3}-7=1$

(a)

15.

Solve the following equation:

$5x+8=43$

(a)

16.

$3x+2\ =\ -25$

a)

$x\ =\ -8$

b)

$x\ =\ -9$

c)

$x\ =\ 9$

d)

$x\ =\ 24$

17.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

18.

What is the first step to solving the equation

4x\ +\ 30\ =\ 110

?

a)

add 30 to both sides

b)

subtract 30 from both sides

c)

multiply both sides by 30

d)

divide both sides by 30

19.

What is the next step to solve the equation

4x=80

?

a)

add 4 to both sides of the equation

b)

subtract 4 from both sides of the equation

c)

multiply both sides of the equation by 4

d)

divide both sides of the equation by 4

20.

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.

21.

2x + 6 = 14

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 3

22.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

23.

WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

24.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

25.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

26.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

27.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

28.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

29.

Solve the system of equations using substitution:

y = 2x + 5

2x + 2y = 4

a)

(1, 7)

b)

(7, 1)

c)

(2, 9)

d)

(-1, 3)

30.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

31.

Solve the simultaneous equations

a+b=11

a-b=3

a)

a=7, b = 4

b)

a=-4, b= 7

c)

a=4, b = 7

d)

a=4, b= -7

32.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

33.

Which y - intercept and slope applies to the graph?

a)

y - intercept = 2, slope = 2

b)

y - intercept = -2, slope = 1/2

c)

y - intercept = -2, slope = 2

d)

y - intercept = 1, slope = 2

34.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

35.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

36.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

37.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

38.

Use the formula to find the slope between the two points.

(5, 10) and (8, 12)

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

39.

Use the formula to find the slope between the two points.

(5, -2) and (5, -7)

a)

1

b)

0

c)

undefined

d)

$\frac{7}{5}$

40.

Use the formula to find the slope between the two points.

(-1, -2) and (8, -3)

a)

$\frac{9}{1}$

b)

$-\frac{9}{1}$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

41.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

42.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

43.

What is the first step to convert this equation into slope-intercept form? $y+4=-9\left(x+3\right)$

a)

Subtract 4 from both sides of the equation

b)

Add 4 to both sides of the equation

c)

Distribute -9 to everything in the parentheses

d)

Distribute 9 to everything in the parentheses

44.

Match the following graphs to the systems of equations

a)

1.

$y=\frac{2}{3}x+1$

$y=\frac{2}{3}x-2$

b)

2.

$y=-x+7$ $y=2x+1$

c)

3.

$y=-2x+4$ $y=-2x+4$

45.

When will we get "no solutions" from a system of equations?

a)

The two lines cross once

b)

The two lines are the same and overlap

c)

The two lines are parallel and never touch

d)

The two lines cross at 2 points

46.

When would we get "infinitely many solutions" to a system of equations?

a)

The lines are parallel, never intersecting

b)

The lines cross at one point

c)

The lines are the same and overlap at all points

d)

The lines cross at 2 points

47.

What would the solution be to this system of linear equations?

a)

(0,0)

b)

(2,2)

c)

(6,0)

d)

(0,4)

48.

Which of the following is NOT a linear function?

a)

y = 3x

b)

y = x²

c)

y = 5x - 9

d)

y = 3(x + 4)

49.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

50.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

Quiz; Algebra drills & basics + linear systems

Total questions: 50

Worksheet time: 1hrs 27mins

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