Think you’ve got your head wrapped around Equations and Inequalities? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which algebraic equation models the following word problem?
Find three consecutive numbers whose sum is 33.
Find three consecutive numbers whose sum is 33.
x + (x + 1) + (x + 2) = 33
x(x + 1)(x + 2) = 33
3x = 33
x + 3 = 33
x + y + z = 33
Q. Which algebraic equation models the following word problem?
Separate the number 132 into two parts, one of which is twice the other.
Separate the number 132 into two parts, one of which is twice the other.
2x2 = 132
3x = 132
3x2 = 132
2x = 132
2x3 = 132
Q. Which algebraic equations model the following word problem?
In a group of 32 students, the number of right-handed people is 4 less than twice the number of left-handed people.
In a group of 32 students, the number of right-handed people is 4 less than twice the number of left-handed people.
r = 4 – 2l
r + l = 32
r + l = 32
2l = r – 4
r + l = 28
r + l = 28
r = 2l – 4
r + l = 32
r + l = 32
r = 2l + 4
r + l = 32
r + l = 32
l = 2r – 4
r + l = 28
r + l = 28
Q. Which algebraic equations model the following word problem?
The sum of two numbers is 19, and their difference is 5.
The sum of two numbers is 19, and their difference is 5.
2x = 19
x – y = 5
x – y = 5
(x + y + 19) = (x – y + 5)
x – y = 19
x + y = 5
x + y = 5
x + y = 19
x – y = 5
x – y = 5
3x = 24
Q. Which algebraic equation models the following word problem?
A rectangle is 2 times as long as it is wide. If the perimeter is 240 cm, what is the width?
A rectangle is 2 times as long as it is wide. If the perimeter is 240 cm, what is the width?
2l + 2w = 240
2w = 120
lw = 240
2l + 2(2l) = 240
2(2w) + 2w = 240
Q. Which algebraic expression models the following word problem?
On a special quiz, you get 5 points for every word problem answered correctly, 3 points for every algebra problem, and 1 point for spelling your name right.
On a special quiz, you get 5 points for every word problem answered correctly, 3 points for every algebra problem, and 1 point for spelling your name right.
3w + 5a
5w + 3a + 1
1
5w + 3a
3w + 5a + 1
Q. Which algebraic equations model the following word problem?
Jane is carrying 8 coins total. She has one fewer nickel than twice the number of quarters.
Jane is carrying 8 coins total. She has one fewer nickel than twice the number of quarters.
2n – 1 = q
n + q = 8
n + q = 8
n – 1 = 2q
n + q = 8
n + q = 8
n = 2q – 1
n + q = 8
n + q = 8
n – 1 = 2q
2q = 8
2q = 8
n = 2q – 1
nq = 8
nq = 8
Q. Which algebraic equation models the following word problem?
Maria has $13 to spend on smooth, delicious chocolate candies. Her favorite type is on sale for 75 cents per piece. How many can she buy?
Maria has $13 to spend on smooth, delicious chocolate candies. Her favorite type is on sale for 75 cents per piece. How many can she buy?
75x ≤ 13
75x = 13
0.75x = 13
0.75x ≥ 13
0.75x ≤ 13
Q. Which algebraic equation models the following word problem?
How does the area of a triangle change if you increase the base by 2 and double the height?
How does the area of a triangle change if you increase the base by 2 and double the height?
A = (b + 2)h
A = bh
Q. Which algebraic equation models the following word problem?
The product of two consecutive negative numbers is 30.
The product of two consecutive negative numbers is 30.
(-x)(-x + 1) = 30
x(x + 1) = 30
(-x)(-x – 1) = 30
x + (x + 1) = 30
x(x – 1) = 30