Vocabulary
Systems & Ratios
Grab Bag
Word Problems
Algebra One
Pre-Algebra
100
Is 2d + 5 an expression or an equation?
expression
100
Alg: How many solutions does the graph have?
1 solution
100
Ms. Smith has four daughters. Each daughter has a brother. How many kids are there in total?
5
100
Find the total price of a sweatshirt that is priced at $48 and taxed at 6.5%.
$51.12
100
Factor the Quadratic x2+ 5x + 6
(x+2)(x+3)
100
Convert 250.025 to a mixed number.
250 1/ 40
150
Is 5c - 2c = 3c and expression or equation?
Equation
150
How many solutions does the graph have?
No solution
150
Evaluate
x^3 – xy – x/y if x = 2 and y = 0.5
3
150
If 200 is increased by 130 percent, what is the resulting number?
460
150
Solve sqrt(x+6)=5
x=21
150
Reduce to lowest terms:
102/170
3/5
200
Which number is the coefficient in the equation 3x + 6 = 18
3
200
Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
(6,9)
200
Find the slope of the line passing through each pair of points.
(2,5) and (3,3)
-2
200
I am always hungry and will die if not fed, but whatever I touch will soon turn red. What am I?
What is fire?
200
What are the solutions for y=x2-15x+36
x = 12 or 3
200
9 2/14 – 3 15/21
5 3/7
250
Algebra:
1. A graph in which 2 sets of data are plotted as ordered pairs in a coordinate plane are called a __________.
Pre-Algebra:
1. Addition and subtraction are examples of _________.
Algebra:
1. scatter plot
Pre-Algebra:
1. Inverse operations
250
PA: You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
Alg: Solve the following systems of equations using substitution:
5x - 2y = 3
y = 2x
$8 per pound
(3, 6)
250
What is easier to get into than out of?
What is trouble?
250
The whole batch cost $28,000 and contained 140 items. What would be the price for 200 items?
$40,000
250
How is the graph of y=-x2+4 different from its parent function y=x2?
Reflected downward and shifted up 4
250
Answer only problem 8.
8. G
300
Write an equation for "Twice a number is 18 more than 5 times a number".
2x = 18 + 5x
300
PA: Convert 120 ft = _________yd
Alg: Solve the following systems of equations using substitution:
y = 3 - x
3y + x = 5
40 yards
(2,1)
300
Which graph best represents: −y=6/5x+3?
B
300
The electrician charges $50 to come over and $30 for every hour that he is there.
Pre-Algebra: What is the slope in this situation?
Algebra: Name the dependent and independent variables
30
Dependent: Money
Independent: Time
300
Name the vertex of y=(x-3)2 - 5
(3, -5)
300
I grow more down as I grow up. What am I?
A goose. or a tree
350
Pre-Algebra: Evaluate 3y - 9 if y = 3
Algebra: The domain is also known as...
1. 0
2. x, independent variable, and input.
350
The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, how many snapdragons were there?
32,500
350
If f(x)=6-x and h(x)=2x-1, find h(3)
5
350
Larry invests $5,000 for 8 years at 3.5% interest.
Pre-Algebra: Find the simple interest earned.
Algebra: Find the amount after 8 years if the money is compounded quarterly.
$1400
Algebra: $1607.60
350
What value of "c" would make the quadratic a perfect square trinomial?
x2+12x + c
36
350
18 - 4k = -10 - 4k
No solution, null set
400
The slope- intercept form of a linear equation is ___________.
y=mx+b
400
Write the fraction in lowest terms: 36a3b2c / 24ab2c4
3a2 / 2c3
400
Simplify x2y-3z3(2x3z)2
4x8z5/y3
400
Pre-Algebra: Six times a number is 45 greater than the product of the number and -3. Find the number.
Algebra: A city starts with 2,000 people and grows by 10% each year. Predict the population after 5 years.
5
3221 people
400
Simplify sqrt(6x) *sqrt(12x2)
6x*sqrt(2x)
400
Simplify:
x + 10 -6(x - 3x) + 4
13x + 14
450
Algebra: Find the x-intercept and y-intercept of the following equations:
4x + 2y = 8
Pre-Algebra:
Twelve of the 28 students in math class have blonde hair. In simplest form, what fraction of the students in math class do not have blonde hair?
Algebra:
x-intercept = 2, y-intercept=4
Pre-Algebra:
4/7
450
Alg: Solve:
y=8x+1
y=6x+3
10
(1, 9)
450
What is the slope of the graph of: y=12x−19?
12
450
The number of red frogs exceeded the number of blue frogs by 80. The number of green frogs was 20 less than the number of blue frogs. If there were 120 blue fogs, what was the sum of the reds, the blues, and the green frogs?
420 frogs
450
Simplify (x-2)/(x2+7x -18)
1/(x+9)
450
(x+5)/4=7
Solve for x
x = 23
500
Pre-Algebra: what is the domain of a function?
Algebra: The x-intercepts of a quadratics are also called ________ or _______________
all the x values or inputs
solutions or roots
500
Alg: What is the solution to this system?
2x + 3y = 4
15x + -3y= 81
4
(5,-2)
500
Algebra: Solve 6y - 8 > 4y + 26
Pre-Algebra: Solve 8 + 3x = 29 +2x
Algebra:
y>17
Pre-Algebra:
x = 21
500
Pre-Algebra: On a map of North Carolina, the distance between Charlote and Wilmington is 14.75 inches. If 2 inches equals 24 miles, what is the approximate distance between the two cities?
Algebra: If 2 cats and 3 dogs cost $27 and 3 cats and 1 dog costs $23, how much does 1 dog cost?
Pre-Algebra: 177 mi
Algebra: $5
500
Solve 1/x +3 = 2/x
x=1/3
500
Solve for k:
4(−2k−8)=6(k+18)
k = -10