What is the slope and y-intercept for the graph of the equation 5x + y = â9? ... equation for the depth of the rock climber y is y = 120 â 15x, wh...
Chapter 3 Retest Review 1. The top of Sophie’s ladder is resting against the side of her tree house 18 feet above the ground. If the base of the ladder is 3 feet from the house, what is the slope of the ladder? TEKS 8.4(C)
2. A landscaper can plant 2 trees per hour. Write and solve a direct variation equation to find how many trees they can expect to plant in a 5 -hour shift. TEKS 8.5(E)
3. Store A is offering five bottles of sports drink for $8.75. The costs for sports drinks at Store B are shown in the table. Assume the cost for the sports drinks varies directly with the number of bottles. At which store does the sports drink cost more? Explain. TEKS 8.5(E)
Number of Bottles Cost ($)
2 3.80
4 7.60
6 11.40
4. What is the slope and y-intercept for the graph of the equation 5x + y = –9? TEKS 8.5(I)
5. A rock climber is at 120 feet and slowly descending at a rate of 15 feet per hour. The equation for the depth of the rock climber y is y = 120 – 15x, where x is the number of hours in descent. What do the slope and y-intercept represent? TEKS 8.5(I) 6. The table shows the items and their individual prices that Xi bought for her art studio. Altogether, she spent $360. This is represented by the equation 10x + 30y = 360. What are the x- and y-intercepts? TEKS 8.5(I) Paint
Easels
Cost ($)
10
30
Number Bought
x
y
7. The table shows the costs of T-shirts and shorts at aclothing store. The store spent $2,700 on a recent shipment. What is the slope and y-intercept of the line that represents the cost of this shipment? TEKS 8.5(I)
Cost per Item ($) Number of Items Ordered
T-shirts
Shorts
6.50
5.00
x
y
Course 3 • Chapter 3 Proportional Relationships and Slope
NAME
DATE NAME
PERIOD
DATE
PERIOD SCORE
8. Maddy is an aide at a daycare. The table shows the numbers of aides needed for certain numbers of children. Write an equation that represents the relationship between the number of children y and the number of aides x. TEKS 8.5(I)
Number of Aides, x 0 2 4 5 7
Number SCORE
of Children, y 0 12 24 30 42
9. Write an equation in point-slope form and slope-intercept for the line that passes through (1, 6) and has a slope –2. TEKS 8.5(I) 10. Determine whether the linear function is a direct variation. If so, determine the constant of variation. If not, explain why not. TEKS 8.5(E) 1 12
Jobs, x Money Earned ($), y
2 20
3 34
Use a problem-solving model to solve each problem. 11. The points in the table below lie on a line. 12. The table below shows the speed that Katrina What is the value of y when x is 5? TEKS 8.4(C) can type pages. How many pages can Katrina type in 30 minutes. TEKS 8.5(A) x y Minutes Pages 0 3 27 4 36 1 3 5 45 2
13. The tables show the coordinates of two slope triangles for a line. What is the slope of the line? TEKS 8.4(A) Point x
A 0
B 0
C 1
y
5
1
1
Point x
D 1
E 1
F 2
y
1
–3
–3
14. A T-shirt company charge $15.00 as an initial fee plus $5.00 per T-shirt. For the month of August, the company reduces its T-shirt cost to $4.50 per T-shirt. Write an equation in slope-intercept form that represents the new cost y for x T-shirts ordered during the month of August. What is the value of mb? TEKS 8.5(I)
Course 3 • Chapter 3 Proportional Relationships and Slope
