7th Grade IAR Review #1

Front

What is the formula to calculate the total cost of car repairs if the labor cost is $50 per hour and parts cost $150?

Back

Total Cost = (Labor Hours * $50) + $150

Front

How do you combine like terms in the expression 5a + 2b - 3a + 4?

Back

Combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4

Front

What does an open dot represent when graphing inequalities?

Back

An open dot indicates that the value is not included in the solution set, used for < and >.

Front

Simplify the expression –2n + 5(–3 + 3n). What is the result?

Back

The result is 13n - 15.

Front

Solve for x in the equation 3x + 2(4x - 4) = 3.

Back

x = 1.

Front

What is a variable in algebra?

Back

A symbol (often a letter) that represents an unknown value.

Front

Define 'like terms' in algebra.

Back

Terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you solve a one-step equation like x + 5 = 10?

Back

Subtract 5 from both sides: x = 10 - 5, so x = 5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.