Translating and Check Step
Write Expressions/Equations/Inequalities
Grab Bag
Distribute & Combine Like Terms
Solve Equations/Inequalities
100
Jorge solved the equation 6x-2=10 and got x = 4. Use the check step to see if his solution is correct.
22 = 10 is not true. x = 4 is not the correct solution.
100
Write an expression for the quotient of the number n and twelve.
n/12
100
Dee solves an equation for x. The last step of his solution process results in 2 = x. How many solutions does Dee's equation have?
One solution
100
Simplify 5(p + 3)
5p + 15
100
Solve for x: 2x - 9 < 7
x < 8
200
Karissa is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Write an inequality to show the number of hours Karissa must ski for the cost of buying skis to be less than renting skis.
125 + 5x < 35x
200
Write an expression for the difference of a number w and 7, broken equally into 3 parts.
(w-7)/3
200
Write the equation for the model above.
-5x + 4 = -2x - 8
200
Simplify -3(x + 8)
-3x+(-24)
200
Solve for m: 18m + 7 - 12m = 43
m = 6
300
Deanna solved the equation −3x + 14 = 4x − 7 and got x = 3. Use the check step to see if her solution is correct.
5 = 5 is true. The solution x = 3 is correct.
300
Write an expression for 2 less than the product of m and 5
5m - 2
300
Charlie solves an inequality for v. The last step of his solution process results in v > 5. How many solutions does Charlie's inequality have?
Infinitely many solutions.
6, 7, 8, 9, 10, 11, 100, 1000, ...
300
Simplify 2(2n - 11) + 10n
14n-22
300
Solve for n: 8n = 5n - 9
n = -3
400
•Company A charges $11.50 per shirt ordered plus a one-time design fee of $8.00.
•Company B charges $9.50 per shirt ordered plus a one-time design fee of $12.00.
Write an equation that can be used to find t, the number of t-shirts the school must order for the cost to be the same at both companies.
11.5x + 8 = 9.5x + 12
400
Translate to mathematical symbols: "triple the number n reduced by 10 is at minimum 26"
3n - 10 >= 26
400
What value of x makes the equation true?
x = 1.5
400
Simplify -9(4-y)
-36 + 9y
400
Solve for h: -6(h - 2) > 18
h < -1
500
Which situation best represents the following equation?
6x > 50 + 2.80x
A.) Sara makes hair clips and sells them for $50 each. Her total costs are $6 plus $2.80 per clip. How many clips, x, does she have to sell to make a profit?
B.) Sara makes hair clips and sells them for $6 each. Her total costs are $50 plus $2.80 per clip. How many clips, x, does she have to sell to make a profit?
C.) Sara makes hair clips and sells them for $6 each. Her total cost is $50. How many clips, x, does she have to sell to make a profit?
6x > 50 + 2.80x
B.) Sara makes hair clips and sells them for $6 each. Her total costs are $50 plus $2.80 per clip. How many clips, x, does she have to sell to make a profit?
500
Write an expression for 6 less than half a number
n/2-6
500
Fill out the Do and Undo Chart for the inequality
-x - 3 < -12
500
Simplify 3(9k - 4) - 4(5k - 3)
7k
500
Solve for v:
1/5v + 6 = -4
v = -50