Free Printable Algebraic Reasoning Review

Worksheets

Algebraic Reasoning Review

Total questions: 36

Worksheet time: 2hrs 42mins

Name

Class

Date

In Matrix R (pictured) what element is r₂₃?

9.01

You can multiply a 2X3 matrix by which matrix?

2X2

2X12

3X12

2X3

Which of the following is the correct representation for the system of equations?

Mindy is ordering ice cream at Marble Slab Creamery. The cost of a plain ice cream is $5.00. Each additional topping costs $0.25. Which table represents this situation?

Find the solution for the linear equation.

x=-3

x=-2

x=-1

x=0

What is the slope of the equation?
y = -3x + 4

-3

-4

Which is the graph of y= -x + 2?

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

10.

Function

Not a Function

11.

Is this mapping a function or not a function?

Function

Not a Function

12.

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

y = 150 + 40

y = 40x + 150

y = 150x + 40

13.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

14.

Evaluate f(-4) for the function f(x)=3x²-5

f(-4) = 43

f(-4) = 139

f(-4) = -52

f(-4) = -149

15.

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

16.

_{What is the y-intercept of the line?}

(0,¹/₂)

(0,1)

(0, ^-1/2)

(0, -1)

17.

Which graph is linear?

Graph A

Graph B

Graph C

Graph D

18.

What equation does the table represent?

y=x+1

y=x-1

y=2x+1

y=2x-1

19.

Find the y-value of the solution point.

y=2x+3

y=x-4

(a)

20.

Solve for the x value of the solution.

4x+2y=12

-19x+6y=5

(a)

21.

Meg's teacher asked her to find the zero(s) of the equation below. Meg decided to factor to find the zero(s).
0= x²-4x +4

(x + ___) (x + ___)

(x + -2)(x + 2)

(x + -4)(x + 2)

(x + -4)(x + 4)

(x + -2)(x + -2)

22.

Solve the equation
4(2x-5)=7(2x+4)

-8

-1.5

1.5

23.

Solve the equation for y
4x+2y=16

y=4x+16

y=-2x-8

y=2x+8

y=-2x+8

24.

Simplify:
9 - 4(8 - 3) + 10 ÷ 2

-6

-3

25.

Find the slope of the line containing these two points:
(-5, 1) and (-6, -3)

m = 4/11

m = 1/4

m = -2

m = 4

26.

Evaluate the expression (ab)² for a = 4 and b = 3

144

27.

Multiply the binomials.
(x + 5)(x + 3)

x² + 8x + 15

x² + 15x + 8

2x² + 8x + 8

2x² + 15x + 8

28.

-4x + 14 ≤ 54

x ≥ - 10

x ≤ -10

x ≥ 10

x ≤ 10

29.

Solve for x.

x = 21

x = 7

x = −21

x = 4

30.

Parallel Lines never intersect because...

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

31.

-3(x - 3) + 6(x + 1)

3x + 6

3x + 4

-3x + 16

3x + 15

32.

6x - 2 - 7x + 4 - x

-2x + 2

-2x - 2

2x - 6

x + 2

33.

What is reason 5?

Transitive Property

Reflexive Property

Symmetric Property

Prove

34.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

35.

Simplify the Expression:

3x²y + 4x - 6y + 4x²y -2y

11x²y - 8y

7x²y - 4y

7x²y + 4x - 8y

36.

Evaluate the following expression:
-3x² - 5x + 7 when x = -2

100 %

Algebraic Reasoning Review

Total questions: 36

Worksheet time: 2hrs 42mins

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