Integer Operations
Evaluate: -18 + 27
9
Evaluate: -8.4 + 12.7
4.3
Evaluate: -14 + 9 - (-6)
1
Write an expression for the sum of 12 and 8, divided by 4.
(12 + 8) ÷ 4
Simplify: 6x+3x
9x
A football team starts a drive on its own 35-yard line. On the next three plays, the team gains 12 yards, loses 8 yards, and loses another 6 yards. What is the team’s total change in yards?
12 + (-8) + (-6) = -2 yards
The temperature was -3.5°F in the morning. By the afternoon, the temperature increased by 8.7°F. What was the temperature in the afternoon?
-3.5 + 8.7 = 5.2°F
Evaluate: -3.5 - 4.8 + 6.2
-2.1
Write an expression for 6 less than 4 times a number, x.
4x − 6
Simplify: 8x+5-3x+7y
5x+5+7y
Evaluate: (-7)(-6) ÷ (-3)
-14
Evaluate: (-3.6)(-2.5)
9
Daily double 2x the points
Use long division to write -7/8 as a decimal.
-0.875
Maya buys 3 notebooks for $4 each and 2 pens for $2 each. Write an expression that represents the total amount she spends.
3(4) + 2(2)
Simplify: (4x-7)+(-5x-8)
-x-15
A submarine is 45 feet below sea level. It descends 18 feet, rises 27 feet, and then descends another 12 feet. What is the submarine’s final position relative to sea level?
-45 + (-18) + 27 + (-12) = -48 feet
A submarine descends 2 1/4 miles over a period of 3/5 of an hour. At a constant rate, what is the submarine’s change in elevation per hour?
-2 1/4 ÷ 3/5 = -3 3/4 miles per hour
Evaluate: -7.5 + (-4.5) ÷ (-6)
2
A movie ticket costs t dollars. Popcorn costs $6.50. Write an expression for the cost of 3 movie tickets and one popcorn.
3t + 6.50
Daily triple 3x the points
Factor completely: 32x+24
8(4x+3)
A football team loses 8 yards on each of 3 consecutive plays. On the next play, the team gains 15 yards. Then, the total change in yards is divided equally across 3 plays for analysis. What is the average change in yards per play?
[3(-8) + 15] ÷ 3 = -3 yards per play
A hiker begins at an elevation of 125.5 feet relative to sea level. The hiker descends 48.75 feet, then climbs 2 1/2 times the distance descended. What is the hiker’s final elevation?
125.5 - 48.75 + 2.5(48.75) = 198.625 feet
Evaluate the complex fraction: (3/4) ÷ (5/8)
1 1/5
A pair of shoes costs s dollars. The shoes are 20% off, and then a $10 coupon is applied to the discounted price. Write an expression that represents the final cost of the shoes.
0.80s − 10
Simplify: 4(2x+3)-5(x-2)
3x+22