Math Equations and Inequalities

Which choice correctly describes the term(s), constant(s), and coefficient(s)?

• Terms: -2x, 13

  Coefficient: -13

  Constant: -2

• Terms: -2x, -13

  Constant: 13

  Coefficient: -2

• Terms: 2x, 13

  Constant: 13

  Coefficient: 2

• Terms: -2x, -13

  Constant: -13

  Coefficient: -2

Given: 5(x+4) + 5 = 4x -4 Step 1: 5x + 20 + 5 = 4x - 4 Step 2: 5x + 25 = 4x - 4 Step 3: x + 25 = - 4 Step 4: x = -29 What statements are true? (READ CAREFULLY - MULTIPLE ANSWERS ARE CORRECT)

• Step 1 is the result of the distributive property.

• Step 3 is the result of the associative property

• Step 3 is the result of the subtraction property of equality.

• Step 4 is the result of the subtraction property of equality.

Which equations represents the statement: The sum of 13 and three times a number equals the difference between the number and 21?

4(2a + 3) < 3a + 2

• a < -2

• a > 2

• a < 2

• a > -2

Solve the following word problem by creating and solving an equation for the unknown value: Timothy and Doug are earned $121 washing cars. Timothy made $11 more than 4 times as much as Doug. How much money did Doug make? Do not enter a dollar sign for your answer. Enter just the number.

Jay is saving for a set of drums that cost $1750. He has $250 saved and will save an $150 per month for d months. Which equation can Jay use to figure out how long it will take him to save for the drums?

• A

• B

• C

• D

Joan needs at least $100 to buy a graphing calculator for her math class. She has $10 already, and her neighbor will pay her $5 per hour to babysit. Which inequality represents the minimum number of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Which number line shows all the values of x that make the following inequality true?

• A

• B

• C

• D

Answer explanation

Check numbers to determine the solution of an inequality. Zero is an excellent number to test.

Remember that a closed circle includes the value as part of the solution; open circle does not include the endpoint as a solution.