Writing an Equation
Writing inequalities
solve equations
solve inequalities
expressions
100
At 20C the speed of sound in air is 344 m/s. This is 1,117 m/s slower than the speed of sound in water. Write and solve and equation to find the speed of sound in water.
344 = a - 1,117 1,461
100
write an inequality for each verbal statement: The space shuttle can carry more than 38,000 lbs.
p > 38,000
100
solve this equation: 3t = 27
9
100
Solve each inequality. Graph your solutions. g - 2 ≤ - 8
g ≤ -6; solid dot on -6, arrow to left
100
evaluate the expression using the value: s = 2 8s - 16
0
200
A runner's heart rate is 133 beats per minute. This is 62 beats per minute more than his resting heart rate. Write and solve an equation to find the runner's resting heart rate.
133 = r + 62 71 beats / min
200
write an inequality to solve the problem. Then solve the inequality. a 1-ton (1T) truck has the ability to haul 1 T, or 2,000 lb. At most how many refrigerators can the truck carry, if each one weights 320 lb?
320 r ≤ 2,000; at most 6 refrigerators
200
solve this equation: k + 2 = - 12
- 14
200
solve each inequality. graph your solutions. - 5w ≤ 30
w ≥ -6 solid dot on -6, arrow to right
200
write an algebraic expression for the word phrase: divide the total points p by 3
p/3
300
Money: a fitness club advertises a special for new members. Each month of membership costs $19, with an initial enrollment fee of $75. Write and expression for the total cost. Then evaluate your expression for 8 months of membership.
let m =# months 19m + 75 = $227
300
Write an inequality and solve. to win the long jump, you need to jump a distance greater than 2.25m. Your personal best jump is 2.1. How much farther do you need to jump to win?
d + 2.1 > 2.25 d > 0.15
300
solve this equation: (r / 4) + 1 =6
20
300
solve each inequality. graph your solutions p/5 < -3
p < -15 hollow dot on -15, arrow to left
300
Evaluate the expression using the values: s=2, t=4 5 ( t - s)
10
400
Write and equation and solve: Softball: This season a player scores 6 runs more than three times the number of runs she bats in. She scores 108 runs this season. How many runs does the player bat in?
3b +6 = 108 34 runs
400
write an inequality and solve: A roller coaster can carry 36 people per run. At least how many times does the roller coaster have to run to allow 10,000 people to ride?
36 p ≥ 10,000 278 times
400
solve this equation: - 3x + 8 = - 22
10
400
solve each inequality. graph solutions. k + 4 < 3
k < - 1 hollow dot on -1, arrow to left
400
write an algebraic expression for the word phrase: four shirts more than s shirts
4 + s
500
six families split the cost of a family reunion. Each family also spends $65 for a hotel room. Each family's share of the cost of the party plus the cost of the hotel room totals $160. Write and solve an equation to find the cost of the reunion.
s/6 + 65 = 160 $570
500
write an inequality and solve. If hot dogs cost $4.75 and peanuts cost $1.25, at most how many bags of peanuts can you buy with $15?
1.25 p ≤ 15 12 bags
500
solve this equation: ( v/-3) +4 =- 1
15
500
solve this inequality. graph your solutions. - 2t > 10
t < -5 hollow dot on -5; arrow to left
500
How do an expression and equation differ?
an expression is a mathematical phrase with at least one variable while an equation is a mathematical sentence with and equal sign.
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