Math 1 Benchmark 1 Practice

Math 1 Benchmark 1 Practice

by Elzy Lindsey

​Module 1 Review - Expressions

Students take what they have learned about whole numbers and apply that to algebraic expressions. (A.SSE.1, A.SSE.2)   ​

Multiple Choice

Evaluate. $$3+5\times7-8$$  

• 48

• 30

• 8

• 46

Multiple Choice

Evaluate. $$100\div5^2+8\times3$$  

• 34

• 42

• 28

• 36

Multiple Choice

Evaluate. $$6\times3-4\left(11-6\right)$$  

• 2

• -2

• 4

• -4

Multiple Choice

Evaluate. $$\frac{8^2-4}{7+2^3}$$  

• 1

• 4

• 45

• 240

Multiple Choice

b − 3 + 6 − 2b

• -b + 3

• 3b + 9

• b + 3

• -3b + 3

Multiple Choice

−2(7 − n) + 4

• -n + 18

• -2n - 10

• -n + 9

• 2n - 10

Multiple Choice

−4p − (1 − 6 p)

• -10p

• 2p − 1

• -10p -1

• -2p - 4

Multiple Choice

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative of multiplication
• identity of multiplication
• inverse of multiplication
• associative of multiplication

Multiple Choice

Pick the answer that is an example of the inverse property of multiplication

• 5 ⋅ 0 = 5
• 5 ⋅ 1/5 = 1
• 5 - 5 = 0
• 5 ⋅ 1 = 5

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

Fill in the blank:
2(x + 7) = 2x + __

• 7
• 14
• 7x
• 14x

Multiple Choice

Fill in the blank:
4(3x + __) = 12x + 16

• 4
• 16
• 4x
• 12

Multiple Choice

|15|

• 15

• -15

• 0

• 14

Multiple Choice

-|14 + 8|

• 22

• 6

• -6

• -22

Multiple Choice

-|20 - 6|

• 14

• -14

• 26

• -26

Multiple Choice

Evaluate:

|2 + 7 – 1| ÷ 2² =

• 16

• 2

• –2

• 8.75

​Module 2 Review Equations in One Variable

​Students write and solve equations in one variable. (A.CED.1)

Multiple Choice

$$-2v\ +\ v\ =\ 3$$  

• 4

• $$-5$$

• $$-3$$

• 5

Multiple Choice

$$21=3+4n+5n$$  

• 9

• $$-7$$  

• 6

• 2

Multiple Choice

$$96=6\left(k+8\right)$$  

• $$12$$  

• $$8$$  

• $$-4$$  

• $$9$$  

Multiple Choice

$$97=-3\left(6n-5\right)-8$$  

• $$-10$$  

• $$16$$  

• $$-5$$  

• $$-2$$  

Multiple Choice

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Multiple Choice

6(5g+ 2)=30g

• g=2
• g=12
• all real numbers
• no solution

Multiple Choice

Solve for k.

|k - 9| = 4

• 5, 13

• -5, -13

• 5, -5

• 13

Multiple Choice

How many solutions does the equation have?

|c - 7| = 2

• no solution

• one solution

• two solutions

Multiple Choice

Solve the proportion:

• 4
• 8
• 14
• 10

Multiple Choice

Solve the proportion below:

• 418
• 2
• 38
• 11

Multiple Choice

Solve for y:
5x - y = 16

• -y = 5x + 16
• y = 5x + 16
• x = 5y - 16
• y = 5x - 16

Multiple Choice

Solve for n:
2m - n = 8

• n = 2m - 8
• n = -2m - 8
• n = 2m + 8
• n = -2m + 8

​Module 3 Review - Relations and Functions

 Students graph functions and interpret key features in graphs of functions. (F.IF.1, F.IF.4)​

Multiple Choice

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}

Multiple Choice

What is the domain of the mapping?

• {2, 3, 8}
• { (-4, 3), (1, 8), (3, 2), (7, 3) }
• {-4, 1, 3, 7}
• {-4, 1, 2, 3, 7, 8}

Multiple Choice

What is the range of the table?

• {-4, 0, 1, 3}
• {-2, 0, 2, 3}
• {-4, -2, 0, 1, 2, 3}
• { (0, 0), (2, -4), (3, 3), (-2, 1) }

Multiple Choice

• Function
• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

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.

Multiple Choice

• discrete

• continuous

Multiple Choice

• Discrete

• Continuous

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear
• Nonlinear

Multiple Choice

Which graph is linear?

• Graph A
• Graph B
• Graph C
• Graph D

Multiple Choice

What is/are the x-intercept(s)?

• (3 , 0)

• (0 , 3)

• (6 , 0)

• (0 , 6)

Multiple Choice

What is/are the y-intercept(s)?

• (3 , 0)

• (0 , 3)

• (6 , 0)

• (0 , 6)

Multiple Choice

Which interval represents the positive portion of the graph?

• x > 3

• x < 3

• x > 6

• x < 6

Fill in the Blank

What is the line of symmetry if any?

=

.

Fill in the Blank

What is/are the relative maximum? Write as coordinate points.

(

,

)

(

,

)

Fill in the Blank

What is the line of symmetry if any?

=

-

Multiple Choice

What is the initial value of the following graph?

• (3, 0)
• (0, 3)
• (4, 0)
• (0, 4)

Multiple Choice

What is the y-intercept?

• (0,7)
• (0, 0)
• (0,1)
• (0, 2)

Multiple Choice

Who has the greater rate of change?

• Hunter has the greater rate of change.
• Casey has the greater rate of change 
• They have the same rate of change

​Module 4 Review - Linear and Nonlinear Functions

​Students write and graph linear and nonlinear equations. (F.IF.7a, F.IF.7b, F.BF.3)

Multiple Choice

What is the slope of the equation?
y=-2x-1

• 2
• -2
• -1
• 1

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Which equation matches the graph? 

• y = 2x
• y = 1/4 x + 2
• y = 1x + 4
• y = -2x

Multiple Choice

Which of the following linear functions does NOT represent a rate of change of  $$-\frac{2}{3}$$  ?

• $$2x\ +\ 3y\ =\ 12$$  

• $$y\ =\ -\frac{2}{3}x\ +\ 9$$  

Multiple Choice

What is the rate of change of the graph?

• $$3.5,\ \frac{7}{2}$$

• $$1.67,\ \frac{5}{3}$$

• $$0.6,\ \frac{3}{5}$$

• $$-1.67,\ -\frac{5}{3}$$

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

Multiple Choice

What is the slope of the line represented by the equation y = 7 - x?

• 7
• 0
• 1
• -1

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2