Adamson U
Elementary Algebra
Practice Quiz (with Answer)
1. Simplify: 3x + 5x
To simplify this expression, we add like terms.
3x and 5x are both multiples of x, so we can add them together.
3x + 5x = (3+5)x = 8x
2.Simplify: 2(x + 3)
To simplify this expression, we use the distributive property.
2(x + 3) = 2x + 2(3) = 2x + 6
3.Simplify: 4x - 2x
To simplify this expression, we subtract like terms.
4x and 2x are both multiples of x, so we can subtract them.
4x - 2x = (4-2)x = 2x
4.Simplify: 3(2x + 4)
To simplify this expression, we use the distributive property.
3(2x + 4) = 3(2x) + 3(4) = 6x + 12
5.Simplify: (3x + 2)(4x - 6)
To simplify this expression, we use the distributive property.
, (3x + 2)(4x - 6) = 3x(4x) + 2(4x) - 3x(6) - 2(6)
= 12x^2 + 8x - 18x - 12 = 12x^2 - 10x - 12
6.Simplify: x^2 + 2x + 1
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=1
7.Simplify: 3x^2 - 2x + 1
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=1
8.Simplify: (2x + 3)(x - 4)
To simplify this expression, we use the distributive property.
(2x + 3)(x - 4) = 2x(x) + 2x(-4) + 3(x) + 3(-4)
= 2x^2 - 8x + 3x - 12 = 2x^2 - 5x - 12
9.Simplify: 5x^2 + 2x - 3
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=-3
10.Simplify: 2x^3 + 4x^2 - 6x
To simplify this expression, we add like terms.
2x^3, 4x^2, and -6x are all multiples of x, so we can add them together.
2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x
11.Solve: 2x + 3 = 7
To solve this equation, we want to find the value of x that makes the
equation true.
First, we subtract 3 from both sides: 2x = 4
Elementary Algebra
Practice Quiz (with Answer)
1. Simplify: 3x + 5x
To simplify this expression, we add like terms.
3x and 5x are both multiples of x, so we can add them together.
3x + 5x = (3+5)x = 8x
2.Simplify: 2(x + 3)
To simplify this expression, we use the distributive property.
2(x + 3) = 2x + 2(3) = 2x + 6
3.Simplify: 4x - 2x
To simplify this expression, we subtract like terms.
4x and 2x are both multiples of x, so we can subtract them.
4x - 2x = (4-2)x = 2x
4.Simplify: 3(2x + 4)
To simplify this expression, we use the distributive property.
3(2x + 4) = 3(2x) + 3(4) = 6x + 12
5.Simplify: (3x + 2)(4x - 6)
To simplify this expression, we use the distributive property.
, (3x + 2)(4x - 6) = 3x(4x) + 2(4x) - 3x(6) - 2(6)
= 12x^2 + 8x - 18x - 12 = 12x^2 - 10x - 12
6.Simplify: x^2 + 2x + 1
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=1
7.Simplify: 3x^2 - 2x + 1
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=1
8.Simplify: (2x + 3)(x - 4)
To simplify this expression, we use the distributive property.
(2x + 3)(x - 4) = 2x(x) + 2x(-4) + 3(x) + 3(-4)
= 2x^2 - 8x + 3x - 12 = 2x^2 - 5x - 12
9.Simplify: 5x^2 + 2x - 3
This is a quadratic expression in the form of (x+a)^2+b where a=-1, b=-3
10.Simplify: 2x^3 + 4x^2 - 6x
To simplify this expression, we add like terms.
2x^3, 4x^2, and -6x are all multiples of x, so we can add them together.
2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x = 2x^3 + 4x^2 - 6x
11.Solve: 2x + 3 = 7
To solve this equation, we want to find the value of x that makes the
equation true.
First, we subtract 3 from both sides: 2x = 4
