Expressions
Simplify 5x + 2(x+1)
7x + 2
Solve: x + 7 = 15
x = 8
Solve: x - 4 > 2
x > 6
Expand -4(3y-1)
-12y +4
Solve: 3(2y - 6) = 12
y = 5
Solve: 6 - r <= 20
r>= -14
Evaluate when x = -2:
3x - (x + 3)
-7
Solve: 5 - 2k = -11
k = 8
Solve: -3x >= 21
x<= -7
Write an expression/equation for:
The sum of two numbers is 35. The second number is five more than the value of the first.
x + x + 5 = 35
Answer: 2x + 5 = 35
Simplify 2a^2 + 6a
2a (a +3)
Solve: (x/4) + 3 = 10
x = 28
Solve: n <= 3n +18
n >= -9
Write an expression/equation for:
The perimeter of a triangle is 50 cm. Side A is twice the length of Side B, and Side C is 4 cm longer than Side B.
x = Side B
2x + x + x +4 = 50
Answer: 4x + 4 = 50
A number increased by 9 is 25. Write and solve the equation.
x + 9 = 25
x = 16
Simplify 5x^2+10x - (3x^2 - x + 4)
2x^2 + 11x - 4
Solve: 15 - 3m = 2(m+5)
m = 1
Solve: 5 - 2x < 1
x > 2
Write an expression/equation for:
A number is five more than another and their sum is 9.
x + x + 5 = 9
Answer: 2x + 5 = 9
A rectangle's length is 3 more than twice the width. Its perimeter is 54 cm.
Write and solve an equation to find its measurements.
Width = x Length = 2x + 3
54 = 2 (x) + 2 (2x + 3)
x = 8