Alg 1 Honors Benchmark 1 Review

Fill in the Blank

A car rental company charges an initial fee of $42 and a daily fee of $12. A customer pays a total of $138. How many days did the customer rent the car?

Fill in the Blank

Solve: $$8x-7=4(x+1)+7$$  

Multiple Choice

Which ordered pair is a solution of the equation represented by the graph?

*Hint: think intercepts

• (-1.5, 4)

• (-1,0)

• (2,3)

• (0,-1)

Multiple Choice

Which of the following numbers is not a solutioin of $$6x-11\ge4x-13$$  ?

• -2

• -1

• 0

• 1

Multiple Choice

Determine whether each function is linear or nonlinear.

• linear

• nonlinear

Multiple Choice

Determine whether each function is linear or nonlinear.

• linear

• nonlinear

Multiple Choice

Determine whether each function is linear or nonlinear?

• linear

• nonlinear

Multiple Choice

Determine whether each function is linear or nonlinear.

• linear

• nonlinear

Fill in the Blank

The expression 18+1.5x is 8 less than 36.5. What is the value of 4x?

*Hint: solve for x first, then 4x.

Multiple Choice

Which inequality symbol completes the inequality so that its solution is represented by the graph?

-3(x+7) __ -24

• $$<$$  

• $$\le$$  

• $$\ge$$  

• $$>$$  

Multiple Select

The table shows the cost (in dollars of shrimp at a seafood market. Is the situation represented by a linear or nonlinear function? Is the domain discrete or continuous?

• linear

• nonlinear

• discrete

• continuous

Multiple Select

Which equations have exactly one solution? Select all that apply.

• $$2x-9=5x-33$$  

• $$5x-6=10x+10$$  

• $$2\left(8x-3\right)=4\left(4x+10\right)$$  

• $$-7x+5=2\left(x-10.1\right)$$  

• 6(2x+4)=4(4x+10)

Multiple Choice

The graph of which function g is a vertical shrink by a factor of 1/4 of the graph of f?

• $$g\left(x\right)=3\left|x-2\right|+\frac{1}{4}$$  

• $$g\left(x\right)=12\left|x-2\right|$$  

• $$g\left(x\right)=3\left|\frac{1}{4}x-2\right|$$  

• $$g\left(x\right)=\frac{3}{4}\left|x-2\right|$$  

Fill in the Blank

What are the solutions to: $$2\left|x-5\right|<16?$$  

Multiple Choice

The graph of the function f is shown. Which of the following equal 2?

When does y=2

I. f(-4) II. f(5/4) III. f(2)

• I only

• I and III only

• II and III only

• I, II, and III