Act Algebra Math Review

Front

When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?

Back

The number is 10.

Front

William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?

Back

His average monthly pay is $3,000.

Front

Solve for x: 2x + 3 = 13

Back

x = 5.

Front

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

Back

5,138 students do not come from families with only one child.

Front

What's wrong with this picture? The angles are 56 and 34 degrees.

Back

The 56 should be 66 degrees.

Front

What is the formula for calculating the average?

Back

Average = (Sum of all values) / (Number of values).

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to solve for x?

Back

Finding the value of x that makes the equation true.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value.