Valhalla High School Distributive Property Algebra Exam Answers

This Algebra 1 Exam is 28 questions!!! This test needs to be completed as soon as possible! ALL WORK NEEDS TO BE SHOWN for every question. I need a 100% on this exam. PLEASE!!!

28. Solve the radical equation. Check your solution.
2a + 6 = 6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a
O A. a=
(Simplify your answer. Use a comma to separate answers as needed.)
.
OB. There is no solution.
15. Factor the expression.
10y2 +9y+2
10y? +9y+ 2 =
(Type your answer in factored form.)
16. Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.
323 +972 +52 +15
The GCF of the first two terms is
(Simplify your answer.)
The GCF of the last two terms is
(Simplify your answer.)
17. Solve by factoring.
2
a + 3a – 54 = 0
a=
(Use a comma to separate answers as needed.)
18. Complete the square.
7-141
Find the missing term that completes the square.
7-145+
(Simplify your answer. Type an integer or a fraction.)
19. Solve by the quadratic formula and simplify.
3x? + X -4 = 0
X=
(Use a comma to separate answers, as needed.)
20. Which method would you choose to solve the equation? Justify your reasoning.
25×2 – 36 = 0
Choose the best method and reason.
O A. square roots because there is no x-term
O B. factoring because the quadratic formula cannot be used
O c.
C. graphing because the equation is written with zero on one side of the equals sign
OD. quadratic formula because the equation cannot be factored
7. Simplify the expression.
IN
5
32
2
5
32
=
(Simplify your answer.)
8. Simplify the following expression.
3²m477
34møt
– 4
3²m47]
4. 8.-4
3 mºt
(Use positive exponents only.)
9. Simplify.
662 – 362
6b2 – 362=
(Simplify your answer.)
10. Factor. Check by multiplying.
7a-35
7a-35=
11. Use FOIL to multiply.
(y + 7)(y-3)
(y + 7)(y – 3) =
(Simplify your answer.)
12. Multiply using a special product formula.
(7c-9d)(7c+ 9d)
(7c-9d)(7c + 9d) =
(Simplify your answer.)
13. Factor the expression.
x?
x + 14x + 45
X? + 14x + 45 =
14. Factor the trinomial.
C + 15cy + 50y2
c? + 15cy + 50y2 =
21.
Use the Pythagorean theorem to find the unknown side of the right triangle.
15
20
Hypotenuse length =
(Simplify your answer. Type exact answers, using radicals as needed.)
22. Simplify the radical expression.
124
V24 =
(Type an exact answer, using radicals as needed.)
23. Simplify the product.
V2m3
3. 118m
5
2m3 .71875 –
(Type an exact answer, using radicals as needed.)
24. Simplify the radical expression.
V80
P
The answer is
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators.)
25. Multiply as indicated. If possible, simplify any square roots that appear in the product.
12 (712-72)
VE (V12 – 12) =
(Simplify your answer. Type an exact answer, using radicals as needed.)
26. Simplify the sum.
275 + 716
The answer is
(Type an exact answer, using radicals as needed.)
27. Simplify the quotient.
11
V2-1
11
2-1
(Type an exact answer, using radicals as needed.)
1. Solve by the substitution method.
What is the solution of the system?
3x + 2y
– 5x+ y
= -1
= 19
(Type an ordered pair.)
2. Solve the system using elimination.
7x – 7y = 7
x – 7y = -23
The solution is
(Type an ordered pair.)
3. An investor invested a total of $2,300 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If
the investor’s total profit was $79, how much was invested in each mutual fund?
The amount invested in the mutual fund that earned 5% was $
The amount invested in the mutual fund that earned 3% was $
4. If a plane can travel 480 miles per hour with the wind and 380 miles per hour against the wind, find the speed of the wind
and the speed of the plane in still air.
What is the speed of the wind?
mph
What is the speed of the plane in still air?
mph
5. Use the graph to write a matching system of inequalities.
Ay
х
-10
10
-10
What is the system of inequalities represented on the graph?
O A. y 2 -1, x = 6
O B. ys – X, X s 6
O C. ys – x, x 2 6
OD. y 2 – X, X s 6
6. Use the product rule to simplify the expression. Write the results using exponents.
(22″) (-42°) (2)
(27”) (-42) (22) =