Expressions vs. Equations
True or False
Solving Equations
Word Problems
100
Write two expressions (and what they stand for) for the following statement.
Juliet eats seven times more hot dogs than tacos.
7t = # of hot dog
h/7 = # of tacos
100
True or False? Write the statement along with the answer.
9x = 36 if x = 3
False, x = 4
100
20 = 9 + x
x = 11
100
Justin receives $2 for each chore he does and $5 per week as an allowance. Let c represent each chore.
What is the dependent and independent variables?
chores (c) = independent variable
allowance (a) = dependent variable
200
Write an equation for the following statement.
Juliet eats seven times more hot dogs than tacos.
h = 7t
200
True or False? Write the statement along with the answer.
9 ≤ 4 + x if x = 5
True, x ≤ 5
200
4x = 68
x = 17
200
Juliet eat seven times more hot dogs than tacos. How many hot dogs would she eat if she had three tacos? Let 7t = h represent the problem, show your work using a table.
show on board
300
Write an equation for the following problem and solve for x.
180 = 28 + 73 + x
180 = 101 + x
79 = x
300
True or False? Write the statement along with the answer.
108x = 9 if x = 12
True, x = 12
300
56 = 2x - 24
x = 40
300
A miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends. Let f be the number of friends and c be the total cost.
Determine which variable is independent and which is dependent, and write an equation that models the situation. Then make a table to show the cost for 5 to 13 friends.
independent = number of friends (f)
dependent = total cost
t = 20 +3f
400
Write an expression for the following statement.
Justin receives $2 for each chore he does and $5 per week as an allowance. Let c represent each chore.
2c + 5
400
True or False? If false, write the true statement.
7 > 56x if x = 8
False, True if x < 8
400
x/ 4 = 12
x = 48
400
Carlos is shopping for school supplies. He bought a pencil for $3, and he also needs to buy notebooks. Each notebook is $2. Let t represent the total cost of the supplies and n be the number of notebooks Carlos buys.
Determine which variable is independent and which is dependent, and write an equation that models the situation. Then make a table to show the cost for 1 to 5 notebooks.
independent variable = number of books Carlos buys (n)
dependent variable = total cost of supplies (t)
t = 2n + 3
show table on board
500
Write three expressions (and what they stand for) for the following statement.
Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa.
Alyssa = 2b
Jazmin = 2b + 15
Brittany = b
500
True or False? Write the statement along with the answer.
8 + x ≥ 14 if x = 5
False, x ≥ 6
500
3/4x = 9
12
500
Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa. If Brittany is 13 years old, how old are each of the sisters?
Alyssa = 2b = 2(13) = 26 years old
Jazmin = 2b + 15 = 2(13) + 15 = 26 + 15 = 41 years old
Brittany = b = 13 years old