Rational Numbers and Rates
Proportions and Percents
Proportionality in Geometry
Linear Relationships
Equations and Inequalities
100
4. Working together, 7 friends pick 23 4/5 pounds of walnuts at a walnut farm. They divide the walnuts equally among themselves. How many pounds does each friend get?
3 2/5 pounds
100
11 inches = _________ centimeters (1 inch = 2.54 centimeters)
27.94
100
How do you know whether or not two shapes are similar?
1.Corresponding angles need to be the same. 2.Corresponding sides need to be proportional.
100
A plain medium pizza costs $8.00. Additional toppings cost 0.85 each. Write an equation to describe the relationship between the price of the pizza and the number of toppings added.
y=0.85x+8
100
Solve for x. -5x-10=10
x=-4
200
1.Katherine spent $38.50 on 11 gallons of gasoline. What was the price per gallon?
$3.50/gallon or $3.50 per gallon
200
1 pound = 0.454 kilogram How many pounds is 11.35 kilograms? (Round to whole number if needed)
25 pounds
200
9. Which statement is true? Choose all that apply. (Look at the shapes on your Review) A. ∆ABC ~ ∆DEF B. The figures are similar and the similarity ratio is 3/5. C. The figures are not similar.
C. The figures are not similar.
200
A cab company charges a $3.50 boarding fee and $0.50 per mile. Write an equation to describe the relationship between the cost of the cab ride and the number of miles traveled.
y=0.50x+3.50
200
Solve for x. 13-(3/2)x=37
x=-16
300
5. The graph shows Kendra’s earnings. What is the constant of proportionality between Kendra’s earnings and the number of years she worked? (Look at the Graph on your Review)
$5000/year or $5000 per year
300
3. Sarah measured her house as 3 meters tall. What is the equivalent measurement in feet? (1ft=0.305 m; round to the nearest hundreths)
9.84 feet
300
10. Sabrina is planning to paint a rectangular large picture on a wall. The model is 12 inches by 2 inches. If the scale of the drawing is 6 in: 1 foot, what is the area of the actual picture on the wall?
2/3 square feet
300
13. Write an equation that represents the linear relationship as the graph below. (look at the graph on your review)
y=7x+7
300
17. Andre and his friends go ice-skating. Andre must pay an initial fee of $12.80 plus $ 1.90 per hour. Write an equation for the cost “C” Andre must pay after skating for “h” hours.
C=1.90h+12.80
400
2. Walter’s school is 3 miles from home along a straight road. The table shows his distance from home as he walks home at a constant rate. How much closer to home does he get per minute? Time (min) 5 10 15 Distance from home (mi) 2.5 2 1.5
0.1 miles/minute or 0.1 miles per minute
400
8. The total rainfall was 5.8 inches two years ago. Last year’s total was 25% greater than the previous year. What was the last year’s total rainfall?
7.25 inches
400
11. A 13-foot tall tree is next to a slide. The tree is casting a shadow of 16.9 feet and the slide is casting a shadow that is 6.5 feet. How tall is the slide?
5 feet
400
14. Amber began the week with $35. She took a bus to and from school, paying $1.75 for each trip. Let x be the number of trips she took and y be the amount of money she had left at the end of the week. Write an equation that represents the relationship in the situation.
y=35-1.75x
400
1. The number line represents the solution to which equation? A. 4x-8=-24 B. 2x+10=16 C. -3x-5=-6 D. -5x+4=19
B. 2x+10=16
500
6. What is the cost of 3 kilograms of sugar, if 2 kilograms cost $4.72 and the unit price for each package of sugar is the same?
$7.08
500
7. Two stores are having sales on the same video games. The sale at Walmart is “2 video games for $35” and the sale at Target is “$22 for each before 15% discount.” How much will you save if you buy 4 video games at Walmart?
$4.80
500
12. In the semi-circular figure, James walks from point-A to point-B following the path P1 and then he comes back from point-B to point-A following the path P2. What is the value of P1/P2 where P1 and P2 represent the lengths of the pathways? (hint: ∁=2πr; look at the picture on your review)
π/2
500
15. Which description corresponds to the relationship shown in the table? Hours 2 4 6 8 Pay ($) 30 50 70 90 A. earning $15 per hour B. earning $12.50 per hour C earning $10 per hour plus $5 in tips per hour D. earning $10 per hour plus $10 in tips
D. earning $10 per hour plus $10 in tips
500
16. The 25 members of Glee Club are trying to raise at least $2500 to cover travel costs to a singing camp. They have already raised $1200. For the rest, which inequality must be solved to find the average amount each member should raise to at least meet the goal? A. 25x+1200>2500 B. 25x+1200≥2500 C. 25x+1200>1300 D. 25x+1200≥1300
B. 25x+1200≥2500
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