Chapter 1
Solve for g.
2g - 13 = 3
g = 8
Solve and graph.
9 + w > 7
w > - 2
(open dot on -2 shaded to the right)
Determine which of the following are functions.
A: (-2, 2) (-1, 2) (0, 2) (1, 0)
B: (4, 0) (8, 7) (6, 4) (8, 1)
C: - 2 -1 0 0 1
3 4 5 6 7
D: Input Output
-1 --> 4
3 --> 15
11 (goes to 15)
A and D
Write an equation of a line with a slope of 3 and a y intercept of -2.
y = 3x - 2
Solve the system of equations by graphing.
y = x - 2
y = 2x + 3
(-5, -7)
Solve for r.
-3r + 10 = 15r - 8
r = 1
Solve and graph.
-15 < or equal to -3q
5 > or equal to q
q < or equal to 5
(closed dot on 5 shaded to the left)
Determine which of the following is the linear function.
A: 1 2 3 4
5 10 15 20
B: 5 7 9 11
-9 -3 -1 3
A
Write an equation that passes through the points (7, 2) and (2, 12)
y = -2x + 16
Solve the system by substitution.
y = -2x - 7
6x - 5y = -19
(1, -9)
|4b - 5| = 19
b = 6
b = -7/2 (-3.5)
Solve and graph.
18 < or equal to 3(b - 4)
10 < or equal to b
b > or equal to 10
(closed dot on 10 shaded to the right)
Evaluate the function f(x) = 6x + 9 when x = 3.
Determine the value of x that makes the funcion = 21.
f(3) = 27
f(2) = 21
Write an equation of a line that is parallel to y = 2x + 2 and passes through the point (-1, 3)
y = 2x + 5
11x - 20y = 28
3x + 4y = 36
(8, 3)
Solve for y.
9x - y = 45
y = -45 + 9x
y = 9x - 45
Solve and graph.
-6 < 3n + 9 < 21
-5 < n < 10
(open dot on -5 and 10 shaded in between)
Graph the equation 3x + 4y = 12.
Graph the equation y = 5/2x - 10
See graphs on Desmos.
The scatter plot shows the earned run averages and the winning percentages of eight pitchers on a baseball team.
a. What is the winning percentage of the pitcher with an earned run average of 4.2?
b. What is the earned run average of the pitcher with a winning percentage of 0.33?
c. What tends to happen to the winning percentage as the earned run average increases?
a. 0.600
b. 5
c. decreases, negative correlation
In a canoe race, Team A is traveling 6 mph and is 2 miles ahead of Team B. Team B is also traveling 6 mph. The teams continue traveling at their current rates for the remainder of the race. Write a system of linear equations that represents this situation. Will Team B catch up to Team A? Explain.
Team A: d = 6t + 2
Team B: d = 6t
No. When you solve the system there are no solutions.
You thought the balance in your checking account was $68. When your bank statement arrives, you realize you forgot to record a check. The bank statement lists your balance at $26. Write and solve an equation to find the amount of the check that you forgot to record.
$68 - c = $26
c = $42
Write an inequality that represents the words. Then solve and graph the solution.
The sum of a number and 8 is at least 11
n > or equal to 3
(closed dot on 3 shaded to the right)
Describe the transformation on f(x) to f(1/2x) - 1
Horizontal Stretch by a factor of 2. Vertical Translation down 1 unit.
The first 4 terms of a sequence are given. Write an arithmetic sequence equation that describes the sequence and then find the 20th term.
19, 22, 25, 28, ...
Next 3 terms: 31, 34, 37
arithmetic sequence: an = 3n + 16
Graph y > -2x - 4.
See desmos for correct graph.