Understanding linear equations in one variable

Write the verbal sentence as an equation:

Eleven minus the quotient of a number and 8 is 15.

• $11-\frac{8}{n}=15$

• $11-\frac{n}{8}=15$

• 11 - (8+n) = 15

• $\frac{n}{8}-11\ =\ 15$

Write an equation to represent the situation and solve the equation

Maria is monitoring the temperature of two substances in her science lab. Substance A is currently 96.2° and rising 1.5° each minute. Substance B is currently 98.5° and cooling 0.8° each minute.

Tip: use x as the variable

Mathematical Equivalence

ON

53 is 1 more than twice the number of students in a class

• 2c + 53 = 1

• 2c -1 = 53

• 2c + 1 = 53

Find the equation for:

What number is 6 percent of 5?

Seven less than a number is equal to nine.

• 7 - x = 9

• x/7 = 9

• x - 7 = 9

A number is added to 16, the result is thrice of that number.

• $z+16=2z$

• $z+16=3+z$

• $z+16=3z$

• $16z=3+z$

What is the equation for this problem?

The length of a rectangle is 3 times the width. The perimeter is 96cm. Find the width and length.

• 3w + w = 96

• 2(3w) + w = 96

• 2(3w) + 2w = 96

• 3w + 2w = 96

Translate: 5 less than a number is 15.

• x - 5 = 15
• 5 - x = 15
• 15 - x = 5

Write the sentences as an equation:

(Use +, -, *, / to show operations)

v reduced by 285 is 271

Two eighth grade classes are selling raffle tickets to raise money. One class is selling tickets for $2.50 each and has already raised $350. The other class is selling tickets for $3.00 each and has already raised $225. Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount is the same for both classes?

• 3t + 350 = 2.50t + 225

• 350t + 2.50 = 225t + 3

• 2.50t + 350 = 3t + 225

• Not here