Expressions
What is the value of the expression 3x + 4 when x = 2
10
Solve x + 5 = 12
x = 7
Solve -12x > 84
x < -7
Is { (0,-5), (1,-1), (2,-1), (3, 5) } a function?
Yes. There is one output for every input. No x's are repeated.
Tell whether (1, -4) is a solution to the given system.
x - 2y = 8
4x - y = 8
No
Simplify the expression 5(2y + 3) + 4y
14y + 15
Solve 2x - 3 = 9
x = 6
Text messages cost $0.15 each. You can spend no more than $10. Write and solve an inequality to see how many text messages you can send.
0.15x <= 10
x <= 66 messages
State the domain and range of the relation.
{ (0,-5), (1,-1), (2,-1), (3,5) }
Domain: {0,1,2,3}
Range: {-5,-1,5}
Find the point of intersection of the given system.
y = 4x + 3
y = -x - 2
(-1, -1)
If a = 3 and b = 5, evaluate the expression 2a2 + 3b - 7
26
x = 5
Solve (2x - 5)/ 3 > 7
x > 13
Find the next three terms of the arithmetic sequence:
7, 3, -1, -5, ...
Common Difference = -4
-9, -13, -17
Solve the system by substitution.
y = x + 5
4x + y = 20
(3, 8)
Simplify the expression 2(x+3) - 4(x-1)
-2x + 10
Solve 7x - 2 = 5x + 6
x = 4
Solve 7x > 21 OR -2x > 2
x < -1 OR x > 3
For f(x) = -4x + 2, find f(x) when x = 3
f(3) = -10
Solve the system by elimination.
2x + y = 6
4x - 2y = 4
(2, 2)
Write the expression for the perimeter of a rectangle with a length L and width W.
P = 2L + 2W
Solve -2(6 - 3x) + 27x = -3(x - 8)
x = 1
Solve -4 < 3x + 5 < 11
-3<x<2
Graph y = -2x + 4 for the domain D: {-2, -1, 0, 2, 4}
x= -2, -1, 0, 2, 4
y= 8, 6, 4, 0, -4
Joe spent $7.75 to purchase 23 snacks. Chips are $0.25 each and pretzels are $0.50 each. How many of each type of snack did Joe buy? Write the system of equations and solve.
x + y = 23 -> y = 23 - x
0.25x + 0.50y = 7.75
(15 chips, 8 pretzels)