7th Grade Math TCAP Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you solve the inequality 2x - 2 < 4?

Back

Add 2 to both sides to get 2x < 6, then divide by 2 to find x < 3.

Front

What does it mean for x to be less than 3 in the context of inequalities?

Back

It means that any value of x that is smaller than 3 will satisfy the inequality.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

Simplify the expression 12(x + 3) + 8x + 12.

Back

Using the distributive property, it simplifies to 12x + 36 + 8x + 12 = 20x + 48.

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100, used to compare a part to a whole.

Front

How do you calculate the percentage of adult tickets sold if 90 out of 150 tickets were adult tickets?

Back

Divide 90 by 150 to get 0.6, then multiply by 100 to find 60%.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify the expression 4x + 3 - x - 7.

Back

Combine like terms to get 3x - 4.

Front

What is the formula to calculate total earnings?

Back

Total earnings = (Hourly rate) x (Total hours worked).