Review for 7th Benchmark I

Front

What is the solution to the inequality -8x < 48?

Back

x > -6

Front

How do you calculate the length of the diagonal of a rectangle with length 40 yards and width 30 yards?

Back

Use the Pythagorean theorem: diagonal = √(length² + width²) = √(40² + 30²) = 50 yards.

Front

What is the first step to solve the equation -11 + 3(b + 5) = 7?

Back

Distribute the 3: -11 + 3b + 15 = 7.

Front

What is the square root of 144?

Back

±√144 = 12, -12.

Front

How do you solve the equation 3(b - 4) = -3 for b?

Back

Divide both sides by 3: b - 4 = -1, then add 4 to both sides: b = 3.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What does it mean to solve an inequality?

Back

To find the range of values that satisfy the inequality condition.

Front

What is the process of isolating a variable in an equation?

Back

Perform operations to get the variable on one side of the equation and the constants on the other side.

Front

What is the significance of the ± symbol in square roots?

Back

It indicates that there are two possible solutions: one positive and one negative.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.