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Benchmark Review

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Last updated over 2 years ago
35 questions
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Question 1
1.

Which table shows the same rate of change of y with respect to x as the equation

Question 2
2.

What is the rate of change of the function y = -4?

Question 3
3.

What are the slope and y-intercept of the equation of the line graphed below?

Question 4
4.

Which situation is represented by the graph below?

Question 5
5.

Max earns $8 per hour working at his dad’s automotive shop. He is saving his earnings to buy a car stereo system that costs $240. Which graph best represents the problem situation and could be used to predict the number of hours Max needs to work in order to buy the car stereo system?

Question 6
6.

Graph the linear equation 7x + 4y = -28 on the coordinate grid.

Which statement about the linear equation is true?

Question 7
7.

Linear function t has a zero of −1 and a y-intercept of 5. Which graph best represents t?

Question 8
8.

What is the range of the function given by the table below?

Question 9
9.

The mapping below represents all of the points on the graph of a function. What is the range?

Question 10
10.

What is the domain of the relation shown below as a mapping diagram?

Question 11
11.

The graph below shows the path a student walked from outside a locked door at school to the lobby. What is the domain?

Question 12
12.

Mario has an iTunes gift card worth $20.00. He uses the formula y = 0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

Question 13
13.

A railroad car can carry a maximum cargo weight of 110,000 pounds. A company uses one car to ship 2,000 pound canisters. The total cargo weight is a function of the number of containers on the railroad car. What is the greatest value in the domain for this situation?

Question 14
14.

Batteries are on sale for $9.75 a package, including tax. Each package contains 8 batteries and there is a limit of 2 packages per customer. Since cost is a function of the number of packages purchased, which of the following correctly describes the range of this relation?

Question 15
15.

Given the line 3y = 18, which statement is NOT true?

Question 16
16.

The energy output from a chemical reaction is dependent on the amount of chemicals
used. The table shows this relationship.

What is a reasonable amount of energy output from the reaction of 23 moles of the chemicals?

Question 17
17.

For the following inequality, solve for y:
5x - 3y < 6

Question 18
18.

A graph of a linear inequality in two variables is shown on the coordinate grid.


Which inequality represents all possible combinations of x and y shown in the graph?

Question 19
19.

For the function w, w(8) = −6, and w(−6) = 8. If y = w(x), what is the value of y when x = −6?
Record your answer. Be sure to use the correct place value.

Question 20
20.

The graph of a function is shown on the grid.

What are the domain and range for the function?

Question 21
21.
A part of a linear function is shown on the grid.


What is the domain of the part of the linear function shown?

The domain is the set of all real numbers __________ and __________
Question 22
22.

Simplify the algebraic expression 3(2x - 4y) + 5xy - 2(3x - 2y)

Question 23
23.

Identify the situations that best represent the function y = -2x + 60

Question 24
24.
Charlotte has been wanting to get healthier and wants to drink smoothies for breakfast in the morning. The local grocery store has a deal, if you buy 2 smoothies for $5.75 each you get one free! She has $46.00 left over in her grocery budget. How many smoothies could Charlotte get using the remaining
amount of her budget?

Charlotte could get _______ smoothies.
Question 25
25.

Solve the inequality 3(1 - 4x) < -9x + 5

Question 26
26.

Giovanni receives $775 for working at a hardware store each week. For each riding lawnmower he sells, he earns a $140 bonus. Which equation can be used to find Giovanni’s total weekly paycheck, P(x), based on the number of cameras that he sells, x?

Question 27
27.

The table shows a linear relationship between x and y. What is the slope of the line represented by the values in the table?

Question 28
28.

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

Question 29
29.

Mango Manufactures uses formula M(b) = 7/2b + 35 to pay its workers, where M(b) represents the worker’s total daily pay and b represents the number of baskets of mangoes picked. What is the rate workers are paid per basket of mangoes picked?

Question 30
30.

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

Question 31
31.

Mary is starting a tutoring service to make extra money. She plans to charge a base fee of $8 plus $6 per hour. Which function can be used to find the total charge for Mary’s babysitting service, y, based on the number of hours she babysits, x?

Question 32
32.

The value of y is directly proportional to the value of x. When x = 4.5, y is 18.
What is the value of y when x = 17?

Question 33
33.

The parent function for a line is y = x. Which of the following are family members of it?
Select all that apply.

Question 34
34.

The following equation is given in standard form. Solve for y by putting it in slope-intercept form.

Question 35
35.

Cory is a baseball pitcher. His pitching speed increases by 2 miles per hour every 5 week of practice. Without practice, he already throws 60 mph. Which of the following graphs displays a function that would represent this situation?