Free Printable Algebra Knowledge Skills Check

1.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

2.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

3.

Distribute
-15( 2x - 2)

a)

-15 + 2x + 2

b)

-30x + 30

c)

-30x - 30

d)

-15x + 2

4.

3b + b - 2b

a)

3b

b)

b

c)

2b

d)

6b

5.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

9x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

6.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

7.

Distribute and Combine Like Terms:

$5x-2\left(3x-4\right)$

a)

-x+8

b)

x - 8

c)

11x -4

d)

-x -4

8.

In math class, the word constant refers to:

a)

a term that contains a letter

b)

a term that contains no letters

c)

a negative integer

d)

a positive integer

9.

– 9r³ + 2r – 5r³ + 3 – 20r

a)

-4r³- 18r + 3

b)

-14r³ - 18r + 3

c)

-14r³ + 18r + 3

10.

2 - 4

a)

2

b)

-8

c)

6

d)

-2

11.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

12.

6 - (-4)

a)

10

b)

2

c)

-2

d)

-10

13.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

14.

(-4)(-5)

a)

-9

b)

-20

c)

9

d)

20

15.

-32/8

a)

-4

b)

-5

c)

4

d)

24

16.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

17.

Which integer represents a gain of 10 yards on a football play?

a)

+10

b)

-10

18.

Which situation is NOT represented by -35?

a)

A fish swims 35 feet below sea level.

b)

Losing 35 points in a game.

c)

35 degrees on the thermometer.

d)

Descending 35 flights of stairs.

19.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

20.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

21.

Identify the coefficient in the expression.
6y + 7

a)

6y

b)

7

c)

6

d)

1

22.

Identify the constant:

7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

23.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

24.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

25.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

26.

Twice a number is 24.

a)

2n = 24

b)

2/n = 24

c)

2 + n = 24

d)

2 - n = 24

27.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

28.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

29.

7\ +\ \frac{a}{3}=\ 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

30.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

31.

Which letter matches the coordinate (0, -6)?

a)

O

b)

L

c)

i

d)

Z

32.

What letter is at the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

33.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

34.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

35.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

36.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

37.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

38.

Convert the standard form equation into slope-intercept form.
5x - 4y = -20

a)

y = (5/4)x + 5

b)

y = -5x - 4

c)

x = 20

d)

y = 27, 239, 430

39.

Solve this equation for y:
$10x\ -5y=30$

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

40.

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

a)

subtract 2x from each side

b)

subtract 4y from each side

c)

add 2x to each side

d)

add 4y to each side

41.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

42.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

43.

What type of slope is represented in the image?

a)

Negative

b)

positive

c)

zero

d)

undefined

44.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

45.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

Algebra Knowledge Skills Check

Total questions: 45

Worksheet time: 3hrs 4mins

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