Lost in Translation
A number increased by 7 is 19.
Answer: x+7=19
Solve for x.
x+9=13
Answer: x=4
Simplify the expression.
3x+2x
Answer: 5x
Solve the inequality.
x+5>8
Answer: x>3
What is an inverse operation?
Answer: An operation that "undoes" another operation. Opposite!
Twice a number plus 8 is 24.
Answer: 2x+8=24
Solve for x.
3x=21
Answer: x=7
Simplify the expression.
7x−4x+3
Answer: 3x+3
Solve the inequality.
−2x+4<10
Answer: x>−3
What is a coefficient?
Answer: The number attached to a variable.
The product of -2 and a number, increased by 5, equals 17.
Answer: −2x+5=17
Solve for x.
4x−8=16
Answer: x=6
Simplify the expression.
2(x+5)
Answer: 2x+10
solve the inequality.
−3(x−2)≥12
Answer: x≤−2
Why can't 3x and -7 be combined when simplifying expressions?
Answer: Because they are not like terms!
A movie theater charges a $4 service fee plus $8 per ticket. The total cost was $44. Write an equation that could be used to find the number of tickets purchased.
Solve for x.
3(x+2)=21
Answer: x=5
simplify the expression.
3x+4+2x−7
Answer: 5x−3
Solve the inequality and select TWO values that make the inequality true.
3x−7>11
A. 4
B. 5
C. 8
D. 11
Answer: ✅ C (8) and D (11)
any value greater than 6!
When solving inequalities, when do you flip the inequality symbol?
Answer: When multiplying or dividing both sides by a negative number.
A cell phone company charges a $15 monthly fee plus $5 for each gigabyte of data used. The total bill for the month was $75. Write an equation that could be used to find the number of gigabytes used.
Answer: 5g + 15 = 75
Solve for x.
4x+3−2x=15
Answer: x=6
simplify the expression.
4(x−2)+3x
Answer: 7x−8
Solve the inequality and select TWO values that make the inequality true.
−2(x+3)≤8
A. -9
B. -7
C. -5
D. -8
Correct Answers: ✅ B and C
A student says:
−4x>12
so
x>−3
Explain the mistake.
Answer: The sign should flip when dividing by -4.
The correct answer is x<−3