Equations & Inequalities
Working with Units
Linear Equations
Squares to 12^2
Multiples of 9
100
Simplify:
3x + 12 = 4x
x = 12
100
2.5 feet is how many inches?
30 inches
100
In the equation y + mx = b, which variable represents the slope?
m
100
2^2
4
100
9 x 2
18
200
Simplify:
-3y>4
y<-(4/3)
200
32-degrees F is how many degrees C?
0 degrees C
200
Convert this equation from standard form to slope/intercept form
y - 3x = 4
y = 3x + 4
200
4^2
16
200
9 x 11
99
300
How many solutions does the following equation have?
13 (y + 3) = 13y + 39
Infinitely many solutions
300
1/2 mile is how many yards?
880 yards
300
What is the slope of the line that contains these points?
x -7 -6 -5 -4
y 21 17 13 9
Slope = -4
300
7^2
49
300
9 x 50
450
400
ax + 3x = bx + 5
Assuming the equation has a solution for x,
x=?
x =
5/(a+3-b)
400
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
Analia wants to know which school has the higher SAT average relative to the resources invested per student.
Which school has the higher SAT average relative to the resources invested per student?
School A
400
Determine the intercepts of the line.
2x + 5y = −6 
X-intercept is -3
Y-intercept is -1.2 or -6/5
400
11^2
121
400
9 x 8
72
500
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms.
Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900.
Let B represent the number of additional blocks that Joe reserves.
1) Which inequality describes this scenario?
16+B < or = 50
16+B > or = 50
2) What is the least amount of additional money Joe can spend to get the rooms they need?
1) 16+B > or = 50
2) $4,500
500
A pitcher's arm rotates at a speed of 6 degrees per millisecond.
At what speed does the pitcher's arm rotate in degrees per second?
6000 degrees per second
500
Complete the point-slope equation of the line through (2,3) and (7,4).
Use exact numbers which means fractions, not decimals. Simplify (meaning, factor) completely.
y - 4 = _________
y - 4 = (1/5)(x - 7)
500
12^2
144
500
9 x 81
729