5.04 Solving one-step equations
Solve:
x + 6 = 15
x + 12 = 9
x + 4 = 9
x + 3 = 11
x + 2 = 15
x + 9 = 26
10 + x = 19
x + 2 = -7
Solve:
x - 7 = 7
x - 4 = 10
x - 10 = 30
x - 5 = 12
x - 8 = 21
x - 3 = 16
x - 10 = -16
x - 20 = -2
Solve:
5 x = 45
4 x = 20
3 x = 18
3x = 27
2x = 14
5x = -25
-9x = 90
-2x = -100
Solve:
\dfrac{x}{9} = 3
\dfrac{x}{8} = 6
\dfrac{x}{10} = 9
\dfrac{x}{4} = 5
\dfrac{x}{3} = 8
\dfrac{x}{2} = 11
\dfrac{x}{6} = 8
\dfrac{x}{4} = -10
Solve:
9 t = 3
7 t = 56
\dfrac{t}{6} = 10
\dfrac{1}{8} x = 6
x - 8 = - 20
21 = x + 13
88 = 11n
12 = 3 x
6 = \dfrac{x}{8}
t - 15 = 0
7 = x - 1
10 t = 60
Determine whether the given value of x is a solution to the equation:
x = 6 ; 8 x = 51
x = 4; 2 x = 2 \times 4
x = 19; \dfrac{x}{2} = 8
x = 24; \dfrac{x}{3} = 8
x = 9 ; x - 10 = - 1
x = 0; x - 4 = - 5
x = 6: x + 1 = 7
x = 3; x - 3 = - 3
Find the unknown number for each of the following:
When 10 is added to a number, the result is 12.
When a number is multiplied by 10, the result is 60.
When 20 is subtracted to a number, the result is 5.
The sum of a number and 39 is 83.
The product of 3 and a number is 18.
17 less than a number is 25.
The quotient of a number and 8 is -12.
John and Uther do some fundraising for their sporting team. Together, they raised \$403. If John raised \$ m, and Uther raised \$71:
Write an equation that represents the relationship between the amounts each contributed.
Find the value of m.
Kate and Isabelle donate to a charity. Together, they donated \$600. If Kate donated \$272 more than Isabelle, and Isabelle donated \$p:
Write an equation in terms of p that represents the relationship between the different amounts, and then solve for p.
How much did Kate donate?
Justin divides a deck of cards into 7 even groups. There are 12 cards in each group. Let c be the total number of cards in the deck.
Write down the equation that represents the relationship between the total number of cards in the deck and the number of cards in each group.
Now, solve the equation.