Pre-Algebra Unit 1 Review

A linear equation has ONE solution when the equation makes a false statement.

solution set = Any value or values that makes an equation true

like terms = Terms that have the same variable(s).

Solve and select the number of solutions 3 − 2(x + 1) = 2x − 7

solution = Any value or values that makes an equation true.

equation = An expression that contains numbers, operations and variables.

Jacey goes to a gym that charges $59 once and $ (m) monthly. She pays $557 a year total, how much does she pay monthly?

What two integers does √55 fall between?

The sum of y and fourteen is five. What isthe value of y?

irrational number = The number multiplied by a variable in a term.

term = A number or the product of a number and a variable in an algebraic expression.

A linear equation has ONE solution when the variable equals zero.

Solve and select the number of solutions y + 13 + 7y − 7 = 2(4y + 3)

√-144 = ___

radical = A symbol that represents a root √

Drew had $48 saved & weekly add $8. Stacie had $87 & weekly took out $5. How many weeks until they have the same amount?

inverse operations = Operations that undo each other.

rational number = A number that can be expressed as a fraction of two integers

constant = A term that has no variable.

coefficient = The number added to a variable in a term

A square tarp has an area of 64 square feet. What is the length of one side of the tarp?

³√125 = ___

Distributive Property = Used to rewrite an expression without parentheses. a(b + c) = ab + ac

cube root = A number that cannot be expressed as a fraction of two integers.

inequality = A mathematical sentence using <, >, ≤, ≥, or = to compare two quantities.

4. (y/4) + 10 = −14

square root = One of the three equal factors of a number. 3 ∙ 3 ∙ 3 = 27, √27 ! = 3

perfect cube = A number whose square root is an integer.

What is the solution to the inequality shown below? 3(y − 2) < 9

perfect square = A number that can be expressed as a fraction of two integers.

What is the solution of the equation? 17 = 3x − 4

x² = 16

algebraic expression = A set of numbers that makes an equation or inequality statement true.

A linear equation has INFINITELY MANY solutions when both sides of the equation are equivalent.

Solve and select the number of solutions 25 − 2z − 10z = −3(4z + 8) − 1

What is the solution of the equation? 4m + 2 = -3m +16

5. −3(2a − 3) + 1 = −20