4.1 · Graph It
4.2 · Slope
4.3 · y = mx + b
4.4 · Transformations
Miscellaneous Review 🎃
100
The ordered pair on y = 2x − 3 when x = 4.
What is (4, 5)?
100
The letters for zero slope and undefined slope, in that order.
What are C and D?
100
The slope m and y-intercept b in the linear equation
y = −(3/5)x + 4.
What are m = −3/5 and b = 4?
100
The equation of the identity function, the parent function for this linear-function family.
What is f(x) = x?
100
The value of 3a² − 2b when a = −2 and b = 5.
What is 2?
200
One of the graphs (A or B) represents a function of x. Say which one, and name its equation, too.
What is
A, y = −2
200
The slope of the line shown, as a fraction in simplest form.
What is −1/2?
200
Starting at (0, −1), this labeled point also lies on y = (2/3)x − 1. Give its letter and ordered pair.
What is A, (3, 1)?
200
For f(x) = x, g(x) = f(x + 4). Describe the horizontal translation shown by this notation: direction and distance.
What is 4 units left?
200
The solution to 4(x − 3) = 2x + 10.
What is x = 11?
300
The x-intercept and y-intercept of 3x + 2y = 12, written as ordered pairs.
What are (4, 0) and (0, 6)?
300
Both tables use distances x = 1, 3, 7 (all in km).
Taxi A costs ($): 8, 14, 26
Taxi B costs ($): 8, 14, 24
Name the taxi with a linear price rule. Give its rate of change with units and explain the rate.
What is Taxi A, at $3 per kilometer, meaning $3 more for each additional kilometer?
300
The slope-intercept form of 6x + 4y = −12, followed by its slope and y-intercept.
What is y = −(3/2)x − 3, with m = −3/2 and b = −3?
300
The dashed line is f(x) = x. The solid line is g(x) = a·f(x). Give a and describe both vertical transformations.
What is a = −1/2: a vertical compression by a factor of 1/2 and a reflection across the x-axis?
300
For {(−2, 3), (0, 1), (−2, 5), (4, 1)}, give the input that prevents this relation from being a function, then give the range.
What are input −2 and range {1, 3, 5}?
400
This graph represents 2x − 3y = 6. Give its letter and both intercepts as ordered pairs.
What is A, with x-intercept (3, 0) and y-intercept (0, −2)?
400
The value of r that makes the slope through (−3, 5) and (5, r) equal to −3/4.
What is r = −1?
400
The equation of the shown line, in slope-intercept form.
What is y = −(1/2)x + 4?
400
Let f(x) = 2x + 3. Match g(x) = −f(x) and h(x) = f(−x) to graphs A and B. Name the reflection axis for each.
What are g: A, reflected across the x-axis; and h: B, reflected across the y-axis?
400
Solve −7 < 2x − 1 ≤ 9. Give the compound inequality and the letter of its graph.
What are −3 < x ≤ 5 and graph A?
500
A tank starts with 60 liters and drains at 2.5 liters per minute until empty: y + 2.5x = 60. This is the time after it is halfway empty.
What is 12 minutes?
500
The tank drains at a constant rate until empty. Give the signed rate of change with units, then the time when it becomes empty.
What are −4 liters per minute and 13 minutes?
500
A rental charges a fixed fee plus a constant hourly rate. Three hours cost $74; seven hours cost $122. Give C(h), the cost of the rendal for h hours, in slope-intercept form. Then, give the rental time that costs $158.
What are C(h) = 12h + 38 and 10 hours?
500
Let f(x) = x. The shown graph has the form g(x) = −2f(x − h) + 1. Give the missing h and write g(x) in slope-intercept form.
What are h = 2 and g(x) = −2x + 5?
500
Solve −2(3x − 4) ≥ 20 or 5x + 1 > 26. Give the complete solution set, then the smallest integer that is not a solution.
What are x ≤ −2 or x > 5, and −1?