Solving Equations
If possible, find a number or numbers that can replace x to make the following true. If impossible, explain.
5x = 125
3
What operations should be performed on the following expression to give x as a result?
6(x + 2)
Divide by 6.
Subtract 2.
Simplify:
4x + 5x
9x
Use the associative property of addition to write an equivalent expression for:
(x + 9) + 3
x + (9 + 3)
or, x + 12
The expression for the perimeter of a rectangle with sides of x and 8.
2x + 16
If possible, find a number or numbers that can replace x to make the following true. If impossible, explain.
x / 4 = 12
48
What operations should be performed on the following expression to give x as a result?
(x / 10) - 5
Add 5.
Multiply by 10.
Simplify:
4(5x)
20x
Use the commutative property of multiplication to write an equivalent expression for:
(x + 9) * 3
3 * (x + 9)
The expression for the area of a rectangle with sides of 3x and 3x.
9x2
Which of the following numbers are solutions to the given equation?
Numbers: 2, 3, 4, -4
Equation: x2 + 2x = 8
2, -4
Solve for x.
-4 + x = 3
x = 7
Simplify:
7*x*x
7x2
Use the distributive property to write an equivalent expression for:
(8x + 4) / 4
2x + 1
A triangle has a perimeter of 50 and sides of x, 2x, and 14. What is x?
12
Which of the following numbers are solutions to the given equation?
Numbers: 0, 1, 6, -1
Equation: x(x - 5) = 6
6, -1
Solve for x.
-4x = 3
x = -3/4
or x = -0.75
Simplify:
7 + x + x
7 + 2x
Use the associative property of multiplication to write an equivalent expression for:
(2x)x
2(xx)
or 2x2
A rectangle has an area of 48 and sides of 6 and (x + 5). What is x?
3
Solve the following for x.
x / -8 = -9
x = 72
Solve for x.
(x/2) + 8 = 6
x = 3/2
or, x = 1.5
Simplify:
10x - x
9x
Use the distributive property of multiplication to write an equivalent expression for:
x(x - 10)
x2 - 10x
A rectangle has an area of (7x+11) and sides of 10 and (x - 4). What is x?
Daily Double:
5.5.iv or 5.6.iv
17