Q2 CIP Benchmark Review with Practical Problems

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Write an equation for the following situation: Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Back

10 + 7x = 24.

Front

Which has the better price per ounce: 11 oz for $4.75 or 15 oz for $5.85?

Back

15 oz for $5.85.

Front

What does the inequality -5x ≥ -15 represent?

Back

To solve for x, divide both sides by -5, which reverses the inequality: x ≤ 3.

Front

Which situation can be represented by the inequality 15 + 6x ≤ 100?

Back

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

Front

What is the formula to find the cost per item?

Back

Cost per item = Total cost / Number of items.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to both sides of the equation.

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading the region of the graph that satisfies the inequality.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign, while a linear inequality uses inequality symbols.