Linear Equations in One Variable Module 4 Lesson 1

Match each sentence to its equation.

• The difference between 3 times a number and 3 is equal to 15.

• (2x)^2 - 3 = 1

• 3 times the difference between a number and 3 is equal to 15.

• 3w - 3 = 15

• The difference between 2 times the square of a number and 3 is equal to 1.

• 2x^2 - 3 = 1

• The difference between the square of twice a number and 3 is equal to 1.

• 3(y - 3) = 15

Solve the equation: 4(w + 3) = 52. What is the value of w?

• w = 10

• w = 11

• w = 12

• w = 13

• x = 5

• x = 10

• x = 15

• x = 20

Solve the equation: 6(2x - 1) - 4 = 8. What is the value of x?

• x = 1

• x = 2

• x = 3

• x = 4

Identify the linear equations from the list below:

• 3x + 7 = 22

• 4x² - 5 = 11

• 2 + 8x³ = 10

• 7x - 2 = 5 + 3x

Both linear and nonlinear equations are shown. Which of the following equations are non-linear?

• 5x² + 3 = 15

• −(6 − x) + 15 − 9x = 89

• 4x² − 9 = −5

• 16x⁴ + 6 = 7

• 11(x + 2) = 132

Abdul drives 150 miles in 3 hours. If he continues to drive at the same rate, how many hours will it take Abdul to drive 350 miles?

• 7 hours

• 6 hours

• 5 hours

• 8 hours

Translate the algebraic equation into words.

6(w-2)=10

What is the difference between an expression and an equation?

• Expressions have an equal sign and equations do not have an equal sign

• There's no difference

• Expressions do not have an equal sign and equations do have an equal sign

• Expressions do not have variables and equations have variables

Translate the word equation into words. Twice a number decreased by 4 is equal to 9.