Solving Equations
Word Problems
Sequences
Solve for the variable
Systems of equations
Triangle Congruence
Coordinate Geometry
Exponential Functions
Inequalities
100
5x – 4 (x – 3) = 8
x = -4
100
An initial fee for the gym membership costs $100 and an addition $35 each month. If the gym bills a member for $310. How many months was the gym membership used?
The gym membership bill was based on 6 months of use.
100
Write a function that models the sequence 6,15,24,33,42...?
t(n) = 9n -3
100
Solve for b.
T = by
b = T/y
100
Solve the system of equations.
x = 4y
5x - 5y = 45
(12,3)
100
What is the correct triangle congruence statement given the 2 triangles are congruent.
triangle CBA cong triangle
triangle CBA cong triangle FED
100
What is the length of side CD? Round answer the the nearest tenth.
3.2 units
100
Which exponential function is represented by the table of values?
y = 4(6)x
100
What is the solution to the inequality?
3x - 4 < 5
x < 3
200
| 5 – 8x | + 3 = 4
x = 1/2 x = 3/4
200
A magazine subscription costs an initial fee of $15. For each month you also subscribe to the digital version the cost is an additional $10 per month. If the bill is for $115, how many months was the digital version also included in the bill?
10 months
200
A recursive equation for a sequence is shown below:
t(1) = 12
t(n + 1) = t(n) - 6
What is the 5th term in the sequence?
t(5) = - 12
200
Solve for m.
y = mx + b
m = -b/x + y/x
200
What is the y- coordinate of the point where the lines intersect?
y = 4x + 7
y = x + 7
y = 7
200
What information proves
triangle ADB cong triangle ACD when proving congruence by Side-Angle-Side Congruence?
angle ABD cong angle ABC
DB cong CB
angle ADB cong angle ACB
AD cong AC
200
What is the midpoint between point A and D?
(-3,2)
200
What is the value of b in the exponential function shown in the table?
b = 6
200
What is the solution to the inequality
-4x + 6< 2(4x - 9)
x > 3
300
1/6 x - 3 = -5
x = -12
300
The total cost of 4 packages of skittles and 2 boxes of M&M's is $54. The total cost of 3 packages of skittles and 1 box of M&M's is $37. Let s represent the cost of skittles and m represent the cost of each box of M&M's. What is the cost of one package of skittles?
Skittles: $10
M&M's: $7
300
Write an explicit form of the following recursive sequence:
t(1) = -8
t(n + 1)= t(n) + 3
Explicit form:
t(n) = 3n - 11
300
What equation results when solving for y.
5x + 7y = 28
y = -5/7x + 4
300
Find the solution to the following systems of equations.
3x - 4y = 3
x - y = -11
(-47,-36)
300
Which theorem proves the two triangles are congruent?
AAS congruence.
300
What is the perimeter of the quadrilateral? Round answers to nearest whole number.
13 units
300
A Tesla costs $80,000 when purchased and depreciates at 16% per year. Approximately how much is the Tesla worth after 7 years?
$23,607
300
On a number line, graph the solution to the following inequality.
18 - 6x < -12
x > 5
400
2/3x - 3= 1/2x -7
x = -24
400
A boat costs $45,000 when purchased and depreciates at 18% per year. Approximately how much is the boat worth after 6 years?
Approximately $13,680.
400
The first 5 terms of a sequence are shown below.
13, 26, 52, 104, 208...
What is the recursive equation that models this sequence?
t(1) = 13
t(n + 1) = t(n) * 2
400
What equation results when you solve for x?
4x - 3y = 21
x = 3/4y + 21/4
400
The total cost of 3 cupcakes and 4 cookies is $27. The total cost of 4 cupcakes and 1 cookie is $23. Write a system of equations where x is the cost of cupcakes and y is the cost of cookies. What is the cost of one cupcake? What is the cost of one cookie?
Cupcake is $5.
Cookie is $3
400
What congruence theorem proves the two triangles are congruent?
Not necessarily congruent.
400
What is the best name for the polygon given its lengths and slopes?
rhombus
400
Choose the correct function for the exponential equation with an initial value of (0,5) that passes through the point (1, 20).
y = 5(4)x
400
Graph the following inequality.
y > 3/4x + 2
500
5/4x - 7 = x - 5
x = 8
500
Maling brought $80 with her to the mall. If she wants to buy pizza for $15 dollars and some t-shirts at $25 each, what is the greatest number of t-shirts she can purchase?
She can buy at most 2 t-shirts.
$15 + $25x < or = to $80.
500
What is the explicit formula for the sequence below?
30, 90, 270, 810...
t(n) = 10(3)n
500
Solve for x.
(x - 6)(x + 3) = x2 - 6x
x = 6
500
Find the solution to the system of equations by graphing.
y = 5x - 2
y\ =\ -\frac{1}{4}x-2
500
Name the correct triangle congruence condition for the given triangles.
HL congruence
500
What information do you need to prove the following shape is a rectangle?
EF is perpendicular to FG because the slope of EF is 1 and the slope of FG is negative -1.
500
Select the graph of the exponential function
y = 5(1/3)^X
Graph 1
500
Given the following system of inequalities, decide if (6,8) is a solution to one, both, or neither.
y > -2x + 2
y < 1/2x - 2
True for the first equation but false for the 2nd equation.