CREATING

EQUATIONS AND INEQUALITIES

N o t e s

EX.1 WRITE AN EQUATION

a. The sum of twice a number

d

and 3 is 12.

b. Six less than four times a number

j

is 18.

PRACTICE

WRITE AN EQUATION The sum of 12 and the quantity 8 times a number k is equal to 48.

MORE PRACTICE

WRITE AN INEQUALITY

KEY WORDS

EX.2 WRITE AN INEQUALITY a. The product of 8 and a number q is at least 32.

b. The difference of 10 and a number w is no more than 8.

PRACTICE

WRITE AN INEQUALITY a. The sum of a number b and 3 is greater than 8 and no more than 12.

b. The product of 9 and the quantity 5 more than a number t is less than 6.

MULTIPLE CHOICE PRACTICE Which inequality corresponds to the sentence: “Five less than the product of a number n and -6 is at least 8.”?

𝒂. 𝟓 − −𝟔𝒏 ≥ 𝟖 𝒃. −𝟔𝒏 − 𝟓 ≤ 𝟖 𝒄.

−𝒏 𝟔 − 𝟓 ≥ 𝟖 𝒅. −𝟔𝒏 − 𝟓 ≥ 𝟖

CREATE EQUATIONS AND INEQUALITIES FOR …

EX.3 WRITE AN EQUATION

If you sign up for a gym membership during the month of may, you are charged a joining fee of $78. The monthly membership cost is $32.32. Write an equation the represents your total cost.

PRACTICE WRITE AN EQUATION A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $35 per hour. Write an equation that represents your total cost.

You decide to record an album with this studio. You book the studio from 5:00p.m. to 8:00p.m. for your first recording. How much will you have to pay?

EX.4 WRITE AN EQUATION

Your family spends $45 on tickets to the Georgia Aquarium. It costs an additional $5 per hour to park. Write an equation that represents your total cost.

Your family stays at the aquarium for 4 hours, how much will you have to pay for parking?

EX.5 WRITE AN INEQUALITY

b.

a.

EX.5 (CONT.) ANSWER

PRACTICE WRITE AN INEQUALITY

b.

a.

PRACTICE (CONT.) ANSWER

HOMEWORK

Liam and Tobet Fundraiser Problem