Unit 1 - C.A. Linear Expressions, Equations, and Inequalities in One Variable
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Last updated 30 days ago
17 questions
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Question 1
1.
Lloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown.
Step 1: 24x + 18(x – 2) = 216
Step 2: 24x + 18x – 36 = 216
Step 3: 42x – 36 = 216
Step 4: 42x = 252
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
Question 2
2.
What mistake was made from the original problem to Line 1?
Question 3
3.
Solve the equation from question 2 correctly. MUST SHOW WORK
Question 4
4.
Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked.
Regina: 6.50h + 16
Phil: 3(2.5h + 5)
Joseph: 7.50h + 10
How many hours will Phil and Joseph have to work in order to make the same amount of money in one week? Write and solve an equation.
Question 5
5.
Use the inequality to answer the following question.
3(x – 4) ≤ 8x + 13
Which of the following inequalities could be the result of the first step in solving the inequality for x?
Question 6
6.
TJ is offered a job with a salary of $42,000 and a raise of $6,000 per year. Another company offers him $62,000 and a raise of $2,000 per year. After how many years will TJ make more money if he accepts the first offer? Write and solve an inequality.
Question 7
7.
Which graph correctly shows the solution to the inequality in question 6?
Question 8
8.
Velocity is calculated using the equation
Write and solve an equation for t, time.
Question 9
9.
A rectangle has a length of (x + 3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle? MUST SHOW WORK
Question 10
10.
Which graph correctly shows the solution to the inequality? MUST SHOW WORK
Question 11
11.
Which of the following scenarios can represent 12(x+3) in the following equation: 12(x+3)=15(x+1)
Question 12
12.
A home repair company charges a flat fee of $125 plus an additional $35 for each hour, h, a home repair job takes. The company expects to make at least $500 for one such home repair job.
Which inequality gives all the possible numbers of hours, rounded to the nearest tenth, the company expects the job to take so that the company makes at least $500?
Question 13
13.
The formula
can be used to find the volume, V, of a cylinder with a radius of r and a height of h.
What equation will give the height, h, of a cylinder that has a known volume and radius?
Question 14
14.
An equation is shown.
What value of x makes the equation true? MUST SHOW WORK
Question 15
15.
The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula for this relationship is shown.
p=mv
Which equation shows the formula correctly solved for v?
Question 16
16.
For which value of a will the equation 3x - 2 = 3x - a have an infinite number of solutions?
Question 17
17.
Use the graph of the compound inequality to answer the following question.
Which of the following inequalities has the solution set that is shown in the graph?