Solving Equations
Evaluate Expressions
Slope
Combine Like Terms
Rules of Exponents
100
Solve the equation for the value of x.
18 - 4x = 5x
18 - 4x = 5x
18 = 9x
x = 2
100
Evaluate the polynomial when x = 4
7x^2 - 12x + 13
7(4)^2 - 12(4) + 13
7(16) - 12(4) + 13
112 - 48 + 13
64+13
77
100
DOUBLE JEOPARDY
Find the slope between the points.
(2, 4) and (6, 6)
(6 - 4)/(6 - 2) = 2/4 = 1/2
100
Combine the like terms
-5x^2 + 5x -2x^2 -8x +11 -x - 15
-7x^2-4x-4
100
2456^0
1
200
Solve the equation for the value of x.
-2x - 3 = 4x - 15
-2x - 3 = 4x - 15
-2x = 4x - 12
6x = 12
x = 2
200
Evaluate the expression when a = 144 and b = -2
sqrt(a) - b
sqrt(144) - (-2)
12 + 2
14
200
Find the equation of the line in slope-intercept form.
y = mx + b
y = 2x + 4
200
DOUBLE JEOPARDY
9y+3-4x-2y-3x-5
7y-7x-2
200
Rewrite as a single exponential expression
(4^11)(4^-8)
4^3
300
Solve the equation for the value of x.
5x + 14 + 2x + 2 = 30
7x + 16 = 30
7x = 14
x = 2
300
Evaluate the expression when a = -1, b = 5 and c = 3
3a(b - c) + 17
3(-1) (5 - 3) + 17
-3(2) + 17
-6 + 17
11
300
Find the equation of the line in slope-intercept form.
y = mx + b
y = -1/3x + 4
300
Simplify the expression
3(1-x+y^2)-5(1+x-y^2)
3-3x-3y^2 - 5-5x+5y^2
-2-8x+8y^2
300
Simplify the following
(x^4)^9
x^36
400
Solve the equation for the value of y.
3y = 2(2 + 2y)
3y = 4 + 4y
-y = 4
y = -4
400
Evaluate the expression when a = 5, b = 1 and c = 3
(a + b - c)^3 / 9
(5 + 1 - 3)^3 / 9
(3)^3 / 9
27 / 9
3
400
Find the slope between the points
(1, 3) and (-2, 5)
(5 - 3)/(-2 -1) = 2/-3 = -2/3
400
Simplify
6(2x-3) - 9x+7
12x-18-9x+7
3x-11
400
Simplify the following
17^5 xx17^-4xx17^-3
17^(5-4-3)
17^-2
1/17^2 or 1/289
500
Solve for the value of x.
x/5 + 7 = -3
x/5 + 7 = -3
x/5 = -10
x = -50
500
Evaluate the expression when a = 7, b = -2 and c = 4
b^2 - (2a + c)
(-2)^2 - (2(7) + 4)
4 - (14 + 4)
4 - (18)
-14
500
Find the equation of a line that passes through the point (4, -3) with a slope of -2
y = mx + b
-3 = -2(4) + b
-3 = -8 + b
b = 5
y = -2x + 5
500
Simplify the following
4/5(5x-15)+1/2(4x+2)
4x-12 + 2x+1
6x-11
500
DOUBLE JEOPARDY
(-2a^3b^-1)(5a^-2b^2)
-10a^(3-2)b^(-1+2)
-10ab