Inequalities
Functions
Linear Equations
100
Write an inequality to represent the situation and graph the solution: Edith reads a minimum of 20 minutes before bed.
x ≥ 20
100
Evaluate f(x) = x² + 4x + 10 at x = -3.
(-3)² + 4(-3) + 10 →9 - 12 + 10 →f(-3) = 7
100
Find the Slope of the line.
-3/10
200
Solve the following inequality and graph the solution: -22 > -10 + b.
-12 > b
200
Define domain.
The set of all inputs, or x-values, of a function.
200
Find the slope from the pair of points (-5,0) (-4,-3).
-3
300
Write a compound inequality to represent the following solution set.
- 2 < x ≤ 5
300
Does the following set represent a function? Justify your answer. {(-2, -2), (0, 4), (3, 3), (-2, 0)}.
No, there are two outputs, or f(x) values, for one input, or x value.
300
Find the slope and y intercept in the following y=-8/3x+4.
-8/3 and 4
400
Write an inequality to represent the following statement: Today’s temperature will be above 55°F and below 70°F.
55 < x < 70 or 70 > x > 55
400
What is the input of the function g(x) = 4x -7 if the output is -23?
x = -4
400
Sketch the graph y = - 7/6x + 2.
500
Solve for y in 32 ≥ -4y. Graph the solution.
-8 ≤ y
500
Romeo is selling vegetables that he has grown on his farm. He spent $230 on supplies for his farm and is selling his vegetables in $30 bundles. Write a function to represent Romeo’s profit and calculate his profit after selling 20 bundles.
f(x) = 30x - 230. He will have made $370.
500
Find the slope and y intercept of the following -6x + 5y = -10.
6/5 and -2
600
Solve for w in the inequality -3w + 9 ≤ 12.
w ≥ -1
600
Solve for f(-6) in the following function: f(x) = (x/3) - 4x.
(-6/3) - 4(-6)→-2 + 24 → f(-6) = 22
600
Sketch and write the equation for the line that has an ordered pair of (-4,-3) and a y-intercept of -2.
y = ¼x - 2 slope ¼
700
Write an inequality to model the description: Three more than 10 times a number is less than -2.
3 + 10x < -2
700
Solve for g(2) in the following function: g(x) = g(x) = x³ + 2x – 3.
g(2) = 9
700
Sketch and write the equation for the line that has ordered pairs of (2,4) and (1,0) and a y-intercept of -4.
y= 4x-4 slope 4
800
Solve the inequality for x: 3x – 18 > 2 – x.
x > 5
800
If the domain of the function f(x) = 2x + 6 is {-2, 0, 4}, what is the range?
The range is {2, 6, 14}.
800
Find the slope and y-intercept of the line -7x + 2y = 8, then graph it.
Slope 7/2 and y-intercept 4.
900
Write an inequality to represent the number line:
x < 1 or x ≥ 5
900
Find f(m + 1) for f(x) = -2x + 17.
-2m + 15
900
Write the slope-intercept form and plot the equation of the line given the slope and y-intercept. Slope is 6 and y-intercept is 3.
y = 6x + 3
1000
Simplify and solve the inequality -3(x – 3) < 5 – 4x.
x < -4
1000
Anthony wants to start a sneaker collection. He already has six pairs of sneakers and wants to purchase a new pair every month. Write a function that represents Anthony’s sneaker collection and calculate how many pairs of sneakers he will have after one year.
f(x) = 6 + m, he will have 18 pairs after one year.
1000
Write the slope-intercept form and plot the equation of each line given the slope and y-intercept. Slope is 6/5 and y-intercept is -1.
y= 6/5x-1
