Solve Equations
x - 3 = 19
x - 3 = 19
+3 +3
x = 22
You purchase an item for x dollars and another item for $40. The total bill is $70. Write an equation and solve for x.
Equation: x + 40 = 70
Solve: - 40 -40
x = 30
The difference of a number y and 17 is 42.
y - 17 = 42
Tell whether the ordered pair is a solution:
y = 5x; (6, 14)
14 = 30
NO
Write the first 3 points on the graph of the equation:
y = 2x
(0, 0), (1, 2), (2,4)
3 + x = 40
3 + x = 40
-3 -3
x = 37
There are 16 teams in a basketball tournament. After 2 rounds, 12 teams are eliminated. Write and solve an ADDITION EQUATION to find the number of teams remaining after two rounds.
t + 12 = 16
-12 -12
t = 4
4 teams remaining
Write an equation then solve:
8 is the quotient of a number x and 3.
8 = x รท 3
x 3 x 3
x = 24
Identify the Dependent and Independent Variables in the following problem:
The equation h = 60 - 4m represents the height h of the water in a tank m minutes after it starts to drain.
h = dependent variable
m = independent variable
Write the first 3 points on the graph of the equation:
y = 2x + 1
(0,1), (1,3), (2,5)
5y = 60
5y = 60
/5 /5
y = 12
Write the word sentence as an equation:
The sum of y and 10 is the same as 20
y + 10 = 20
Write an equation then solve:
9 is 3 less than a number y.
9 = y - 3
+3 +3
y = 12
Which equations DO NOT have 6 as a solution?
a. x + 3 = 6
b. x + 5 = 11
c. 2x = 12
d. x - 10 = 40
e. 33 = x/3
a, d and e
Write the first 3 points on the graph of the equation:
y = x + 3
(0, 3), (1, 4), (2,5)
49 = m/7
49= m/7
x 7 x7
m = 343
Write the word sentence as an equation:
The product of 5 and x is 30
5x = 30
Write an equation then solve:
The product of 4 and x is 12.
4x = 12
/4 /4
x = 3
Tell whether the ordered pair is a solution:
y = x/5 ;(20, 5)
5 = 4
NO
Write the first 3 points on the graph of the equation:
y = 4x + 1
(0,1), (1,5), (2,9)
30x = 210
30x = 210
/30 /30
x = 7
The difference of x and 3 is also 15
x - 3 = 15
Write an equation and then solve:
28 is the same as 12 more than x.
28 = x + 12
-12 -12
x = 16
Tell whether the ordered pair is a solution:
y = 40x + 3 ; (3, 122)
122 = 123
NO
Write the first 3 points on the graph of the equation:
y = x
(0,0), (1,1), (2,2)