Pre-AP Algebra I Test 2 Review – 3rd six weeks Name______

Show all work (other than graphs on your own paper).

Solve each system by graphing.

1.  4x+y=-3
5x-y=-6
/ 2.  2x-y=5
y=2x
/ 3.  3x-2y=5
x+2y=15

Solve using the elimination method.

4.  -28g+15h=-18
-28g-40h=-29 / 5.  6b-5a+10=0
4b-7a+25=0

Solve the systems using substitution.

6.  3y-x=-9
2y+5x=11 / 7.  u-t=5
10t+u=3t+u

Solve by any method.

8.  a-2b=10
a+b=2b+6 / 9.  0.04x-0.06y=40
x+y=6000
10.  3a+4b=-25
2a-3b=6 / 11.  5c4+d=112
c+d3=3
12.  3a+2b=4
132a+b=1
13.  14x-1y=3
10x+3y=4 / 14.  3x-4y=4
5x-6y=7
15.  x+y-2z=7
-x+4y+3z=2
2x-3y+2z=-2 / 16.  5x+3y+z=-4
3x+2y-z=-4
x-3y+5z=4
Solve for x and y in terms of a and b
17.  4ax+15by=10
3ax+10by=5 / 18.  6ax+8by-4=0
9ax+10by-7=0
Define variables, write equations, and solve. Write your answer in a sentence.
19.  The sum of two numbers is 25 and their difference is 7. Find the numbers.
20.  One number is 4 less than eleven times another. The sum of the two numbers is 92. Find the numbers.
21.  Sally has $21.40 in dimes and quarters, for a total of 100 coins. How many of each kind of coin does Sally have?
22.  Clara Nett receives an annual income of $825 from investing one amount of money at 8% and another amount at 12%. She invested a total of $8000. How much did she invest at each amount?
Use residuals to determine whether the model is a good fit for the data in the table. Explain.
23.  y=72x-8
x / -4 / -3 / -2 / -1 / 0 / 1 / 2 / 3 / 4
y / -21 / -19 / -15 / -12 / -8 / -4 / -1 / 2 / 6
Use a graphing calculator to find an equation of the line of best fit for the data. Identify and interpret the correlation coefficient. Interpret the slope and y-intercept of the line of best fit.
24.  The table shows the number of people x in a room and the temperature in the room in degrees Fahrenheit, y.
x / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
y / 76 / 76 / 77 / 77 / 78 / 79 / 79 / 80 / 82