Linear equations (one variable)

You need to create a 12 ounce mixture of 60% antifreeze. How much pure antifreeze should you mix with 40% antifreeze in order to obtain the mixture that you need? Which equation could be used to illustrate this problem?

• 1x + .4(x)=.60(x+12)

• 1x + .40(12-x)=.60(12)

• 1(12-x) + .4(x)=.60(12)

• 1x + .4(12)=.60 (x+12)

Six decreased by twice a number is twelve.

• 2x - 6 = 12

• 6 < 2x = 12

• 6 - x = 12

• 6 - 2x = 12

Yanna buys a shirt and a hat on sale for 40% off. If the price of the shirt before the sale was $28 and she spent a total of $24.90, what was the original price of the hat. Find the equation that fits the scenario.

• (28+x)-.4(28+x) =24.90

• 28x - .4(28x)=24.90

• (28+x)+.4(28+x) =24.90

• 28x + .4(28x)=24.90

When the sum of a number n and 5 is tripled, the result is twenty-four. Which equation below can be used to solve for the unknown number, n?

• 3n + 5 = 24

• n + 5(3) = 24

• 3(n + 5) = 24

Which equation would you use to solve this:
Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?

• x = 12% ● 15
• x = 15% ● 12
• 12 = x ● 15
• 15 = x ● 12

One third of a number is 12 less than the number itself

• 1/3x=x-12

• x^1/3=12-x

• 1/3x-12

• 1/3x-12-x

Mira has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 30% of its adult weight. What will be the adult weight of the puppy?

Which of the following sentences accurately reflects the information given?

• 30% of puppy's adult weight is 9 pounds.

• 30% of 9 pounds is puppy's adult weight.

• I am not sure.

Translate the sentence into an equation:

Four more than six times a number is 18.

• 6 + 4x = 18

• 4x + 6 = 18

• 6x + 4 = 18

• not enough info

Liz is putting together 5 bouquets for a party. Each bouquet is going to have 6 sunflowers in it. The sunflowers cost $3 each. How much will Liz charge for the bouquets?

• $18

• $33

• $60

• $90

Translate: The product of eight and a number increased by five is nine

• 8c - 5 = 9

• 5c + 8 = 9

• 8 + 5c = 9

• 8c + 5 = 9