Reference no: EM13535634
1. Write the equation of the line that passes through point (1, –8) with a slope of 0.
A) x = –8 B) y = 1 C) y = –8 D) x = 1
2. One day, the temperature at 9:00 A.M. was 42°F, and by 2:00 P.M. the temperature was 57°F. What was the hourly rate of temperature change?
A) 3°F/h B) 4°F/h C) 5°F/h D) 2°F/h
3. Given f(x) = 5x2 – 3x + 1, find f(–2).
A) 15 B) 27 C) –13 D) –25
4. Write the equation of the line passing through (–6, –3) and (–6, 1).
A) y = 4x B) y = x – 6 C) x = –6 D) y = –6
5. Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).
A) –4 B) 1/4 C) -1/4 D) 4
6. Find the slope and y-intercept.
x = –8
A) Slope: undefined; y-intercept: (0, –8) C) Slope: undefined; y-intercept: none
B) Slope: 0; y-intercept: none D) Slope: 0; y-intercept: (0, –8)
7. A line passing through (5, –6) and (–9, y) is perpendicular to a line with slope 14/5 . Find the value of y.
A) 1 B) –4 C) –2 D) –1
8. Given f(x) = –x – 4, find f(a – 3).
A) a – 8 B) –a – 1 C) a – 1 D) –a – 7
9. If the graphs of the functions f(x) and g(x) intersect at the point (–5, –4), then
A) {(–5, –4)} is the solution to the equation f(x) = g(x).
B) the solution to the equation f(x) = g(x) is {–5}.
C) f(–5) = g(–4).
D) the solution to the equation f(x) – g(x) is {–5}.
10. True or False: If the graphs of the functions f(x) and g(x) intersect at the point (–5, –6), then {–5} is the solution to the equation f(x) = g(x).
11. Solve the linear equation by writing it as the functional equality f(x) = g(x).
–2x + 5 = x – 7
A) {4}
B) {12}
C) {(4, –3)}
D) {–3}
12. Solve the linear equation by writing it as the functional equality f(x) = g(x).
–4x + 7 = –2x – 5
A) {(6, –17)}
B) {–17}
C) {6}
D) {(12, –41)}
13. True or False: The solution to the functional equality f(x) = g(x), where f(x) = –5x + 1 and g(x) = –3x – D is {(1, –4)}.
14. True or False: To solve the equation
8x + 4 = 2x – 6
first rewrite the equation as f(x) = g(x) where
f(x) = 8x + 4 and g(x) = 2x – 6
15. To solve the equation
3x + 5 = 2x – 7
first rewrite the equation as f(x) = g(x) where
A) f(x) = x, g(x) = –12
B) f(x) = 3x + 5, g(x) = 2x – 7
C) f(x) = x + 12 , g(x) = 0
D) f(x) = x, g(x) = 12
16. True or False: To solve the equation
–x + 2 = 3x – 10
first rewrite the equation as f(x) = g(x) where f(x) = –4x and g(x) = – 12