Unit 1 Exam - Algebra 1

Front

What is the process to simplify the expression 5x - 6x - 8x + 7?

Back

Combine like terms: 5x - 6x - 8x = -9x, so the simplified expression is -9x + 7.

Front

How do you simplify the expression 5(2 - 7n)?

Back

Distribute 5: 5 * 2 - 5 * 7n = 10 - 35n.

Front

What does a closed circle on a number line represent in terms of inequalities?

Back

A closed circle indicates that the number is included in the solution set, representing 'less than or equal to (≤)' or 'greater than or equal to (≥)'.

Front

How do you solve the inequality 3(x-2) < 2(x+9)?

Back

Distribute: 3x - 6 < 2x + 18. Then, subtract 2x from both sides: x - 6 < 18. Finally, add 6 to both sides: x < 24.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

Subtract 5x from both sides: x + 10 > -12. Then, subtract 10 from both sides: x > -22.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

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

What does it mean to combine like terms in algebra?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open circle at 5 (indicating 5 is not included), and shade to the left to show all numbers less than 5.