Algebra 1: Review for Test #1-2

Solve | z + 4 | = 7

• z = { - 11, 3 }
• z = { 3 }
• No Solution
• All Real Numbers

Jennifer, Luis, Robert, Anna, and Tonya are figuring out how to split the check for lunch. The total bill, with tax and tip, is $65.45. Anna puts in $15, and Tonya puts in $8. The rest of the group splits the rest of the bill equally. Which equation represents the amount  that each of the remaining people pay?

• 3a + 23 = 65.45
• 3a = 88.45
• 5a = 65.45 + 15 + 8
• 5a + 23 = 65.45

Solve for b.

• b = - 8/5y + 16
• b = 8/5y - 16
• b = 5/8y - 10
• b = - 5/8y + 10

The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:21. There are 10 gallons of gasoline. How many ounces of oil are there?

• 27 ounces
• 63 ounces
• 21 ounces
• 3 ounces

The A plumbing company charges $200 plus $10 per hour. Another company charges $75 plus $50 per hour. Write an equation to determine the time length of a job that costs the same no matter which company is used.

• 210h = 125h
• 200 + 10h = 75 + 50h
• 200h + 10 = 75h + 50
• 125 + 40h

Solve:
2(y – 6) = 3y + 12 – y   

• y = 1/2
• All real numbers
• y = 2
• No solution

Solve for a.

• a = 50
• a = 10
• No Solution
• All Real Numbers

The formula p = nc – e gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted. If p = 4150, n = 3000, and e = 200, what is the value of c?

• 0.72
• 1.45
• 1.32
• 1.32

What property of equality allows the subtraction of the same number from both sides of an equation?

• Distributive Property
• Substitution
• Subtraction Property of Equality
• Addition Property of Equality

What property of equality allows you to replace an expression with a value that it is equal to?

• Substitution
• Symmetric Property
• Reflexive Property
• Division Property of Equality