Algebra 1 Midterm Review

Front

Rearrange the literal equation to solve for y: 4x - 2y = 10

Back

y = 2x - 5

Front

Write using a single exponent: (10^4)^5

Back

10^20

Front

Simplify the expression x^5 * x^7

Back

x^12

Front

The solution to a system of equations is the place at which the lines ___________.

Back

intersect.

Front

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on your ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

Back

0.75m + 1.75 ≤ 20

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

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 than or less than another.

Front

How do you graph a linear inequality?

Back

Graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.