Linear Equations One Variable Word Problems

Writing Linear Equations from word problem

Lesson 5.1

Multiple Choice

Use the values for m and b to write an equation for Greta’s costs in the form y = mx + b

slope = 3 and y-intercept = 15

• y = 15x + 3

• y = 3x - 15

• y = 3x + 15

• y = -3x + 15

Multiple Choice

Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.

Identify the input variable (x)

• x represents the length of the necklace in inches

• x represents the total number of beads in the necklace

Multiple Choice

Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.

Identify the output variable (y)

• y represents the length of the necklace in inches

• y represents the total number of beads in the necklace

Multiple Choice

Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.

Identify the slope (m) and y-intercept (b)

• m = 27, b = 5

• m = 5, b = 27

• m = -5 , b = -27

• m = -27, b = -5

Fill in the Blanks

Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace.

Fill in the Blanks

write an equation in the form y = mx + b. Then, solve each problem.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Fill in the Blanks

write an equation in the form y = mx + b. Then, solve each problem.

A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week. How much does she earn?

Fill in the Blanks

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

HOMEWORK

Deadline: Dec 2nd @ 11:59 pm