Algebra Spiral Review

What is the algebraic expression for the phrase "5 more than 3 times a number?"

• 8

• 3x + 5

• 3x - 5

• 3 + n + 5

Translate the phrase or sentence into an equation, inequality or expression:

"Five less than the product of a number and 3 is at least -7."

• 5 - 3n < -7

• 3n - 5 > -7

• 3n - 5 < -7

• 5 - 3n = -7

Write the phrase or sentence as an equation, inequality or expression:

"Four more than the quotient of a number and 3 is at most 9."

• n/3 + 4 < 9

• 3/n + 4 < 9

• n/3 + 4 > 9

• n/3 + 4 < 9

Identify the property shown.

• Distributive Property

• Commutative Property of Addition

• Associative Property of Addition

• Addition Property of 0

What is this property called?

• Reflexive Property

• Commutative Property of Multiplication

• Symmetric Property

• Identity Property of Multiplication

• F

• G

• H

• J

Solve each equation for y by using RAILROAD TRACKS. Then, GRAPH both equation and use MENU, ANALYZE GRAPH, INTERSECTION to find the solution.

• A

• B

• C

• D

You can find SOLUTIONS/SOLVE any equation by using MENU 3, 1.

Mathematical Equivalence

ON

GRAPH the equation, then use MENU, TRACE, GRAPH TRACE to find the RANGE (y-values) of the graph. It's easier to to find the minimum or maximum value and check which answer choice is true.

• A

• B

• C

• D

Remember in order to check if a graph is a FUNCTION, it needs to pass the VERTICAL LINE TEST. The VERTICAL LINE TEST should pass through a graph ONLY ONCE for it TO BE A FUNCTION. If it crosses more than once it is not a function.

• F

• G

• H

• J