Algebra 1 final exam
Use elimination to solve the system of equations X+3y=-6 2x+3y=-9
(-3,-1)
Use substitution to solve the system of equations Y=-2x 5x+3y=4
(-4,8)
Solve 8(x-5)=12(4x-1)+12
-1
Simplify 6a(-4b)
-24ab
Solve -3/4 • y= 8/20
-8/15
Which inequality does not have the solution {t|t>7}
-t/8>-1/2
A line with a slope of -1 passes through points at (2,3) and (5,y). Find the value of y.
0
If 4+7+6=4+7+6+n, what is the value of n?
0
If a=2, b=6, and c=4, then (4a-b)^2/ b+c=?
0.4
Chaps is beginning an exercise program that calls for 30 push-ups each day for the first week. Each week thereafter, she has to increase her push-ups by 2. Which week will be the first one in which she will do 50 push-ups a day?
11th
Evaluate 7a+b/b+c, if a=2, b=6, and c=4.
2
If 4x+5y=6 and 7x+5y=3, what is the value of y
2
Simplify 7(2x+y) + 6(x+5y)
20x+37y
A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?
225
Evaluate |26-r|+7 if r=9.
24
Express 0.46 X 10^3 in scientific notation
4.6 X 10^2
Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 miles per hour faster than Charlene. They meet in 5 hours. Find Charlene's speed.
40.4 mph
Which equation has a solution of -2?
5(1+n)=-5
Translate the sentence into an equation. Five times the sum of s and t is as much as four times r.
5(s+t)=4r
Find (3n^2-6n) + (5n^3 +2n) + (2n^3-2n)
6n^3-n^2-4n
If f(x)=7-2x, find f(3)+6
7
(7b-11)(b+3)
7b^2+10b-33
Ashanti wants to collect more than 50 food items for the local homeless shelter. If he has already collected 13, how many more items must be collect?
At least 38
When solving the following system, which expression could be substituted for y 5x-12y=6 7x+y=3
B. -7x+3
The distance an airplane travels increases as the duration of the flight increases. Identify the dependent variable.
Distance
Determine which equation is a linear equation.
F. X+y=4
Which set of data was used to make the stem and leaf plot? Stem|leaf 1 | 4 2 | 4 5 3 | 6
G. 14,24,25,36
Which number is greater than the square root of 3 and less than 1.9?
G. 9/5
The range of a relation includes the integers x/4, x/5, and x/8. What could a value for x be?
H. 40
Which type of graph is used to show the change in data over time?
Line graph
How many solutions exist for the system of equations 2x-3y=14 4x-6y=21
No solutions
The equation 4+9=4+9 is an example of which property of equality?
Reflexive
Write a compound inequality for the graph
X is less than or equal to -1 or x>2
Write y-11=1/2(x-12) in standard form
X-2y=-10
Identify the conclusion of the statement. If you are at the Grand Canyom, then you are in Arizona.
You are in Arizona
If r is the slope of a line, and s is the slope of a line perpendicular to that line, what is the relationship between r and s?
r=1/5
Which inequality is represented by a dashed line through (0,1) and (2,0), and is satisfied by (2,1)?
x+2y>2
If a line passes through (0,-6) and has a slope of -3, what is the equation of the line?
y=-3x-6
The currency exchange rate between the U.S. And Canada in 1999 could be modeled by the equation d=1.49c where d represents the number of U.S. Dollars and c represents the number of Canadian dollars. Solve the equation for Canadian dollar amounts of $1, $2,$5, and $20.
{(1,1.49),(2,2.98),(5,7.45),(20,29.8)}
Find the solution of 3(y+7)is less than or equal to 39 if the replacement set is {2,4,6,8,10.12}.
{2,4,6}
Solve |5k+2|>1
{k|k is a real number}
Solve 4-2r is greater than or equal to 3(5-r)+ 7(r+1)
{r|r is less than or equal to -3
Write an algebraic expression to represent the number of pens that can be bought with 30¢ if each pen costs c cents.
30/c
Simplify (3^2)(3^3)/ (3^-2)(3^-3)
3^12
Simplify 17+15 / 8
4
If y=18 when x=16, find y when x=6
6.75
Simplify 7x^2 + 5x + 4x
7x^2 + 9x
Which ordered pair satisfies the system of inequalities X+2y>8 3x-2y is less than or equal to 10
B (3,3)
What is the probability that a number chosen at random from the domain {-3,-2,-1,0,1,2,3} will satisfy the inequality 3-2x < 5
C. 4/7