Algebra in Words
Solving Equations
Solving Equations with Variables on Both Sides
Word Problems
Misc.
100
Write the expression:
18 more than n
18 + n
100
3x + 10 = 16
x = 2
100
5p - 14 = 8p + 4
p = -6
100
Mitchell’s Lawn Service charges a $15 base fee plus $8 per hour to mow lawns. Mitchell charged Jessica $39 to mow her lawn. Which equation could Jessica use to find out how many hours (h) it took to mow her lawn?
15h + 8 = 39
15h – 8 = 39
8h + 15 = 39
23h = 39
Choice 3
100
What is the difference between an equation, an expression and an inequality?
Equations have =
Inequalities have <, >
Expressions have equation or inequality symbol
200
Write the expression:
The quotient of n and 5
n/5
200
5(2x+3) = 45
x=3
200
p - 1 = 5p + 3p - 8
p = 1
200
Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
10 Weeks
200
Write the expression:
3 less than the product of 4 and a number
4x-3
300
Write the expression:
2 more than twice x
2x + 2
300
12 = -4(-6x - 3)
x = 0
300
7(2+5x) = 3x + 14
x = 0
300
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria’s installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores?
10 Square Yards
300
A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans.
10 Stereos
400
Write the equation:
Two plus the quotient of a number and 8 is 16
2 + (x/8) = 16
400
-8 = -(x+4)
x=4
400
36 - 7x = -7(x-5)
No Solution
400
Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 weekly. In how many weeks will their accounts be equal.
14 Weeks
400
Simplify:
10x + 3.2x + 0.4x + 1.9x
15.5x
500
Write the expression:
2 less than the product of 3 and a number x
3x - 2
500
One Solution
500
16(0.5x+ 2) = 10(x+3) +2 - 2x
Infinite Solutions
500
Jack sells his framed paintings for $20 each. Andrew sells his paintings for $14 each and charges a flat fee of $18 for framing. How many paintings need to be purchased for Jack and Andrew to charge the same amount? Write an equation to represent this problem and solve the equation.
Equation --> 20x = 14x + 18
Solution --> 4.5 paintings
500
What value for g would make this equation have infinite solutions?
2+ 3x + 10 = hx + 12 + 2x
h = 1