4.9: Chapter 4 Review
Define the following words:
- intercept
- intercept
- direct variation
- parallel lines
- rate of change
In 6 – 11, identify the coordinates using the graph below.
In 12 – 16, graph the following ordered pairs on one Cartesian Plane.
- (–6, 1)
- (0, –5)
- (8, 0)
In 17 and 18, graph the function using the table.
- .
–2 | 7 |
–1 | 9 |
0 | 11 |
1 | 13 |
2 | 15 |
In 19 – 24, graph the following lines on one set of axes.
In 25 – 28, find the intercepts of each equation.
In 29 – 34, graph each equation using its intercepts.
In 35 – 44, find the slope between the sets of points.
- (3, 20) and (19, 8)
- (12, 5) and (12, 0)
- and
- (8, 3) and (12, 3)
- (14, 17) and (–14, –22)
- (1, 4) and (18, 6)
- (10, 6) and (10, –6)
- (–3, 2) and (19, 5)
- (13, 9) and (2, 9)
- (10, –1) and (–10, 6)
In 45 – 50, determine the rate of change.
- Charlene reads 150 pages in 3 hours.
- Benoit cuts 65 onions in 1.5 hours.
- Brad drives 215 miles in 3.9 hours.
- Reece completes 65 jumping jacks in one minute.
- Harriet is charged $48.60 for 2,430 text messages.
- Samuel can eat 65 hotdogs in 22 minutes.
In 51 – 55, identify the slope and the intercept of each equation.
In 56 – 60, graph each equation.
In 61 – 63, decide whether the given lines are parallel.
- and
- and
- and
In 64 – 70, evaluate the function for the indicated value.
- Find .
- ; Find .
- ; Find .
- ; Find .
- ; Find .
- ; Find .
- ; Find .
- The distance traveled by a semi-truck varies directly with the number of hours it has been traveling. If the truck went 168 miles in 4 hours, how many miles will it go in 7 hours?
- The function for converting Fahrenheit to Celsius is given by . What is the Celsius equivalent to ?
- Sheldon started with 32 cookies and is baking more at a rate of 12 cookies/30 minutes. After how many hours will Sheldon have 176 cookies?
- Mixture has a 12% concentration of acid. Mixture has an 8% concentration of acid. How much of each mixture do you need to obtain a 60-ounce solution with 6 ounces of acid?
- The amount of chlorine needed to treat a pool varies directly with its size. If a 5,000-gallon pool needs 5 units of chlorine, how much is needed for a 7,500-gallon pool?
- The temperature (in Fahrenheit) outside can be predicted by crickets using the rule, “Count the number of cricket chirps in 15 seconds and add 40.” (i) Convert this expression to a function. Call it , where temperature and number of chirps in 15 seconds. (ii) Graph this function. (iii) How many chirps would you expect to hear in 15 seconds if the temperature were ? (iv) What does the intercept mean? (v) Are there values for which this graph would not predict well? Why?