Unit FourAlgebra I Practice TestOne-Variable Linear Equations

Name______Period_____Date______

Vocabulary: Define each word and give an example.

  1. Linear Equation
  1. Symmetric Property of Equality
  1. Rate

Short Answer:

  1. What is the inverse operation of division? Describe how inverse operations are used to solve equations.
  1. When solving an equation and the variable is eliminated, how can it be determined if the equation has infinitely many solutions? What is the special name for this type of equation?
  1. What are the four steps to a problem-solving plan?
  1. What number would you multiply the equation by to wipe out (clear) the fractions?

Review:

  1. Perform the operations on the matrices.
  1. Find the value of if .
  1. Is the relation a function?

State its domain and range.

  1. Two coins are tossed. What is the probability that both are heads?

Problems:

**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**

  1. Which of the following are linear equations? (Note: There may be more than one answer.)
  1. B. C.
  1. Solve the following equations. Graph each solution on a number line.
  1. b.

c. d.

  1. Determine the number of solutions each equations has.
  1. Solve the equations. Round your answer to the nearest tenth if necessary.
  1. b.
  1. Solve the equation for x.
  1. Solve the formula for h.
  1. Convert 15 cm/sec to km/hr.
  1. Write the following as a unit rate: A worker earns $360 in 15 hours.
  1. Aidan’s bill at a restaurant came to $24.00. He left a tip of $4.00. What percent of his bill did he tip the server?
  1. Which is the better deal? Explain your answer.

$4.25 for 8 cans of soup or $10.50 for 18 cans of soup

  1. A car uses fuel at the rate of 24 miles per gallon. How many miles can the car drive on 18 gallons of gas?
  1. A secretary can type 5 pages in 28 minutes. How long will it take the secretary to type 12 pages?
  1. The total bill for the repair of a car was $524. The cost of parts was $384 and the cost of labor was $35 per hour. Write and solve an equation to find the number of hours of labor.
  1. Use the problem-solving plan to solve the following problem:

Two runners leave the starting line at the same time. The first runner crosses the finish line in 15 minutes and averages 12 kilometers per hour. The second runner crossed the finish line 5 minutes after the first runner. Find the second runner’s speed.

Multiple Choice Questions: Circle the best answer.

  1. Which graph represents the solution of ?
  1. Solve the equation for h.
  1. Hope uses the equation to find the total cost, C, in dollars, of renting a bike for h hours. Hope cannot spend more than $30. What is the maximum number of hours she can rent the bike?
  1. 7
  1. 10
  1. 13
  1. 18

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