Simplifying Expressions
Solving Equations
Solving Inequalities
Translating Real Situations into Algebra
Find the Mistake
100
Simplify this expression:
30 - 101
-71
100
Solve this equation:
x + 10 = 2
x = -8
100
Solve this inequality:
x - 23 > 17
x > 40
100
Write an expression for this situation:
You watch 30 minutes of TikTok on Monday and x amount on Tuesday.
x + 30
100
x + 10 = 10
+10 +10
x = 20
We are supposed to subtract 10 not add 10.
200
Simplify this expression:
3x + 10x
13x
200
Solve this equation:
3x - 7 = 14
x = 7
200
What inequality does this number line represent?
x < 3
200
Write a simplified expression for this situation.
You watch x minutes of TikTok on Monday, 2 times the amount on Tuesday, and 30 minutes on Wednesday.
3x + 30
200
2x - 2 = 14
+2 +2
2x = 16
(2)2x = 16 (2)
x = 32
We are supposed to divide 2 not multiply 2 to both sides.
300
Simplify this expression:
11x + 13 - 6x - 10
5x + 3
300
Solve this equation:
0.53 + 47/100 = x/100 + 47/100
x = 53
300
What inequality does this number line represent?
x >= -4
300
Juan, Peter, Jade, and Rita went to Chipotle. They each got a burrito that costs $8 and a drink that costs $2.25.
How much did the group pay in total?
$41
300
-5x + 6 = 50
-6
-5x = 50
x = -10
We are supposed to subtract both sides by 6, not just one side.
400
-12x + 10 + y - 3y + 10x
-2x + 10 -2y
400
Solve this equation:
2(4x - 7) = 26
x = 5
400
Solve the inequality
4x - 8 > 24
x > 8
400
Kristy is training for a marathon.
She records her time and distance each time she stops for water in the table below.
How many minutes would it take her to run 15 miles?
120 minutes
400
-3x + 9 < 27
-9 -9
-3x < 18
x < -6
The inequality symbol did not change directions when we divided by a negative
500
-2(7x + 22y - 17 + 4x - 3)
-22x + 22y - 40
500
Solve the equation:
5x - 12 + 3x + 5 = 33
x = 5
500
Solve the inequality
-5x - 24 < 36
x > -12
500
A boxing coach earns $440 for teaching 4 boxing classes. The coach receives a 10% raise. How much does the coach make per hour after the raise?
$121
500
Tia rewrote the expression 0.4(2 - 1.1y - 1.6). Her steps are shown below.
Step 1: 0.2(2 – 1.1y + 1.6)
Step 2: 0.4 - 0.22y + 0.32
Step 3: 0.4 + 0.32 - 0.22y
Step 4: 0.72 - 0.22y
There is not mistake.