Solve equtions

Please do all these equations and make sure to show urvwork

CHAPTER 7
NAME
TEST FORM A
CLASS
SCORE
GRADE
ANSWERS
1. Determine whether the given ordered pair is a solution of the
system of equations.
(-3,-2); -4x+3y = 6,
x = 2y +1
1.
У
2.
5
4.
2. Solve this system
by graphing.
y + 2x = -2,
x – 2y =-11
3
,
2
1
3.
-5 -4 -3 -2 -1
1
2
3
4
01
X
-2
3
-4
4.
-5
Solve each system using the substitution method.
5.
3. x=y-11,
2x+4y=-4
4. x+3y = 10,
x – 4y=-4
6.
5. 5x+4= y,
y – 2 = 5x
7.
Solve each system using the elimination method.
7.
X+
6. 3x – y =-1,
5x + y = 9
مادر در |د
1
y= -4,
2
3
– y
-6
4
8.
X
8. 3x+6y=-3,
12x – 3y = 6
9. 3x + 2 y = 26,
2.x – y = 8
9.
Solve.
10.
10.
The perimeter of a rectangle is 48 m. The length is 3 m less than
twice the width. Find the length and the width.
11.
11.
See Clear Window cleaner is 20% vinegar and Spot Free window
cleaner is 40% vinegar. How much of each should be used to
make 120 oz of a cleaner that is 35% vinegar?
Copyright ©2015 Pearson Education, Inc.
CT-177
CHAPTER 7
NAME
TEST FORMA
ANSWERS
12. A motorboat traveled for 1 hr with a 2-mph current. The return
trip against the same current took 2 hr. Find the speed of the
motorboat in still water.
12.
13. The Day Garden has 24 students in its 3- and 4-yr old program.
There are twice as many 4-yr olds as there are 3-yr olds. How
many of each age are there?
13.
14. The sum of two numbers is 68. One number is 22 more than the
other. Find the numbers.
14.
15. Two angles are supplementary. One angle measures 16° more
than three times the measure of the other angle. Find the measure
of each angle.
15.
16. The Nuthouse has 20 lb of mixed cashews and pecans worth
$8.10 per pound. Cashews alone sell for $8.50 per pound and
pecans sell for $7.50 per pound. How many pounds of each are in
the mixture?
16.
17. One checking plan charges $3 per month plus 12¢ per check.
Another plan charges 24¢ per check. For how many checks per
month are the costs of the two plans the same?
17.
18. A group of co-workers drove a car and a minivan to a conference.
The car left first and traveled at 50 mph. The minivan left { hr
later and traveled at 60 mph. How long will it take the minivan to
catch up to the car?
18.
19.
19. Solve: x-3y=-17,
7x+y=-9.
A. Both x and y are positive. B. x is positive; y is negative.
C. x is negative; y is positive. D. Both x and y are negative.
20.
20. The solution of the following system is (4, -2). Find A and B.
Ax+2y = 20,
x + By = 8
21.
21. One year, Caroline made $232.50 from two investments: $3000
was invested at one yearly rate and $1500 at a rate that was 2%
higher. Find the two rates of interest.
CT-178
Copyright ©2015 Pearson Education, Inc.
CHAPTER 8
NAME
TEST FORMA
CLASS
SCORE
GRADE
ANSWERS
1.
2.
3.
4.
5.
6.
7.
1. Find the square roots of 64.
Simplify.
2. 25
3. – 36
Approximate the expression involving square roots to three decimal
places.
4. 325 5. – 12.2 6. 377.2
7. Identify the radicand in 5/6-ys.
Determine whether each expression represents a real number. Write
“yes” or “no.”
8. V-16
9. V15
Simplify.
10. Vp
Multiply.
12. 125
13. Vx-2Vx+2
Simplify by factoring.
14. 24 15. 16 -16
Multiply and simplify.
17. VE V10
18. 13a_b_15ab2
Simplify.
8.
9.
11. V2572
10.
11.
12.
13.
16. Va
14.
15.
16.
17.
19.
80
45
20.
361
n2
18.
19.
Rationalize the denominator.
20.
13x
21.
22.
21.
7
22.
Divide and simplify.
23.
24.
23.
144
33
24.
V75xy
27y3
Copyright © 2015 Pearson Education, Inc.
CT-197
CHAPTER 8
NAME
TEST FORMA
ANSWERS
Add or subtract.
25. 8V8-418
26. 17+
25.
Simplify.
26.
27. (1+16)
28. (6+13)(6-13)
27.
29. Rationalize the denominator:
8
9+ VIO
28.
30. In a right triangle, a = 6 and c = 16. Find b. Give an exact
answer and an approximation to three decimal places. Standard
lettering has been used.
29.
Solve.
31. V20x –8= 2
30.
32. 4x+13 = x + 4
33. Vx+7+ VX – 1 = 4
31.
32.
34. The formula r = 215L can be used to approximate the speed r, in
miles per hour, of a car that has left a skid mark of length L, in
feet.
a) How far will a car skid at 45 mph?
b) A car left skid marks 50 ft long. How fast was the car going?
33.
35. A picture is 5 in. high and 7 in. wide. Find the length of the
diagonal of the picture.
34.
36. Rationalize the denominator:
6т
V7n
35.
42mn
бman
A.
убт
7n
B.
42mn
in
C.
D.
36.
49n2
7n
37.
37. Solve: -VX2 = -324. Assume that x can represent any real
number.
38.
38. Add:
27
75+
180 V108
4 6
CT-198
Copyright ©2015 Pearson Education, Inc.