Vocabulary
Equations
Inequalities
Literal Equations
Error Correction
Word Problems
100
Name the coefficient in the expression:
5x + 6
5
100
x - 6 = 10
Solve for x
x = 16
100
3x > 15
Solve and graph
x > 5
100
ab = 3
Solve for a
a = 3/b
100
Identify the mistake
Shading on the graph should be to the right. Not left.
100
Marco is 8 years older than Maggie. Marco is at least 18 years old. Write and solve an equation or inequality to Maggie's age.
a + 8 > 16
a > 10
200
What is an equation?
An equal relationship between two algebraic expressions
200
x/6=2
Solve for x
x = 12
200
Solve and graph
-x/4<=2
x<=-8
200
4x + 2y = 14y
Solve for x
x = 3y
200
Identify the mistake(s)
Should subtract four instead of adding.
2/2 =/= 6
200
A cookie jar starts with 32 cookies in it. Every day 2 cookies are eaten. After how many days will there be 14 cookies left in the jar?
Use an equation or inequality to solve this problem
32 - 2x = 14
300
What is a solution?
The value which can be substituted for a variable and make the equation/inequality true
300
5x + 7 = 10
Solve for x
x = 3/5
300
Solve and graph
3 > 5x + 6
-3/5>x
300
a(3 + b) = 4a
Solve for b
b = 1
300
Identify the mistake
When multiplying by a negative number (-6), the inequality should flip (> becomes <)
300
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
Write an equation as part of finding a solution.
9x + 4 = 472
x = 52
400
What is the difference between an equation and an inequality?
Also, are they solved differently?
Equations describe equal relationships, while inequalities reveal unequal relationships.
Inequalities are solved just like equations except when you multiply or divide by a negative number, the sign flips.
400
4x + 2 = 5x - 3x + 5 + 2x
Solve for x
No solution
400
Solve and graph
(3(x + 6))/2>15
x>4
400
a/(x+2)=3
Solve for x
x=(a-6)/3
400
Identify the mistake.
5 is not a like term with 20h and 2h
400
The Happy Cow Ice Cream factory costs $3600 a month to operate. Every pint of ice cream they make costs another $0.75 to produce. Each pint of ice cream sells to their distributor for about $3.00. The owners at Happy Cow would like to earn at least $10,000 this month. Write an inequality to represent this situation. Then solve and graph the inequality to determine how many pints of ice cream the Happy Cow factory will need to produce.
3x - (3600 + 0.75x) >= 10000
x>=2844.44
500
Which symbols are used to represent greater than, less than, greater than or equal too, and less than or equal too.
Which direction does each of these require you to shade their solution sets?
>, <,
>=, <=
Trick question. Shading only depends on whether x is smaller or larger than the other side of the inequality. Which changes depending on where x is at.
500
(x+2)/3-(4x+7)/5=1
Solve for x
x = -26/7
500
Solve and graph
2(x + 5) - 3(x - 4) + 6 <= 8x +4 - 2
4<=x
or
x>=4
500
(g + 6)/x=3x
Solve for x
x = sqrt((g+6)/3)
500
Which of the following would represent a valid first step in solving the equation 3(x + 6) = 12?
a. Subtract 6 from both sides
b. Multiply both x and 6 by 3
c. Divide both sides by 3
d. Divide both sides by 12
Both b and c
500
The sum of 3 consecutive integers is 18. What are those integers?
Use an equation to find your answer.
x + (x + 1) + (x + 2) = 18
3x + 3 = 18
x = 5
Integers: 5, 6, 7