Writing Expressions and Equations
The sum of 15 and a number (n) is 28. Write an equation using a variable.
15+n=28
The difference of 18 and a number (n) is less than 5. Write an inequality using a variable.
18-n<5
Evaluate the expression 9a + 11b if a = 10 and b =6
156
Solve the expression for the values given.
5a + b when a = 10 and b = 34
84
17 students each collected the same number of plastic bottles. They all collected 34 bottles. How many bottles (b) did each student collected? Write an equation with a variable that you could use to solve this problem.
17b=34
The difference of 27 and a number (n). Write an equation using a variable.
27-n
The product of a number (n) and 50 is greater than or equal to 100. Write an inequality using a variable.
50n ≥ 100
Evaluate the expression 3f + 11d when f = 7 and d = 5
76
Solve the equation for the values given.
12x + y = z when x = 3 and y = 48
84 = z
Alice had some peaches. She sold 12 peaches and she has 3 peaches left. How many peaches (p) did she start with? Write an equation with a variable that you could use to solve this problem.
p-12=3
The product of a number (n) and 13 equals 26. Write an equation using a variable.
13n=26
The difference of 34 and a number (n) is not equal to 27. Write an inequality using a variable.
34-n≠27
Determine if the inequality is true for the given values:
7m - 2 ≥ 32 when m = 5
33 ≥ 32 This is true
Solve the equation for the values given.
9x − y < h when x = 7 and y = 60
3 < h
Oliva and Emily are making bracelets. Emily makes 15 necklaces. Oliva makes (b) bracelets. Together they make 35 bracelets. Write an equation with a variable that you could use to solve this problem.
15+b=35
The quotient of 48 and a number (n) equals 2. Write an equation using a variable.
What is 48/n=2?
108 divided by a number (n) is less than or equal to 12. Write an inequality using a variable.
108÷n ≤ 12
Determine if the equation is true for the given values:
9j + 3 = 75 when j = 6
57 does not equal 75. This is not true.
Solve the equation for the values given.
w = 10f + 7k + 2v when f = 10, k = 5, and v = 3
w = 141
Ivy and Harper are going out to dinner. Their bill is $50. Ivy pays $28. Harper pays (d) dollars. How much money did Harper pay? Write an equation with a variable that you could use to solve this problem.
$50-d=$28
The product of a number (n) and 2 plus 10 equals 30. Write an equation using a variable.
2n + 10 = 30
Three more than the product of a number (n) and 200 is less than 400. Write an equation using a variable.
200n + 3 < 400
Determine if the inequality is true for the given values:
4j + 2 ≠ 16 when j = 5
22 ≠16, this is true.
Solve the equation for the values given.
2kp - 4g < s when k = 9, p = 8, and g = 12
96 < s
Tae spent $144 on movie tickets. He bought (t) tickets. The tickets cost $8. How many tickets can he buy? Write an equation with a variable that you could use to solve this problem.
144/t=8