Algebra 1 Semester 2 Test
Divide x^2 - 4/ x-8 * (x-2) / x-3
( x+ 2) (x-3) / x- 8
Solve the equation using square roots 5x^2 - 20=0
-2,2
Solve the equation using zero product property (x- 12) (x +1)=0
12, -1
Simplify the product using the distributive property (3h - 3)(4h - 6)
12h^2 - 26h + 12
Simplify the rational expression. State any excluded values 2x-4/ x-2
2; where x=2
Simplify the radical expression square root of 12c^6 d^4
2c^3 d^2 square root of 3
Simplify the expression 16^ 3/2
64
Multiply x^2+ 9x + 20 / 7x * 9X/ x+5
9 (x+4)/ 7
Find the Greatest common factor of the terms of the polynomial 45x^2 + 18x^4
9x^2
What is the value of y^-5/ x^-3 for x= 2 and y= -4
- 1/128
Simplify the sum (7u^3+ 2u^2 +7) + (6u^3- 5u+4)
13u^3+2u^2- 5u+11
Multiply state any excluded values 2/ 3a * 5/ 4a^2
5/ 6a^3 where a= 0
What is a simpler form of the following expressions? (j+7) (j-7)
j^2 - 49
What is the simplified form of each expression? k^7 (k^6) ^-7
k^-35
What is the simplified form of each expression? (K^3)^5
k^15
Divide s^2 - 4s/ s^2 - 10s +24 / s-3/ s- 6
s/ s - 3
Simplify the radical expression sqrt 11/ 4p^4
sqrt 11/ 2p^2
Simplified Form 1/x^-4
x^4
x 1 2 3 4 y -2 0 2 4 Linear or exponential
Linear
Simplify the rational expression. State any excluded values x^2 + 2x - 35/ x^2 - 12x + 35
x +7 / x -7 where x= 7,5
Simplify the rational expression. State any excluded values 3x - 18/ 3x + 15
x - 6/ x + 5 where x = -5
Simplify the rational expression. State any excluded values x^2 + 9x + 18/ x+6
x+3 where x=-6
Order the group of quadratic functions from widest to narrowest graph y= 4x^2, y=2x^2, y=3x^2
y= 2x^2, y= 3x^2, y+ 4x^2
What is the simplified form of each expression? x^-7y^-10/ x^-5y^-13
y^3/ x^2
Can the set of lengths be the side lengths of a right triangle? 18m, 24m, 30m
yes
Can the set of lengths be the side lengths of a right triangle? 5m, 12m,13m
yes
What is the simplified form of each expression? (1/ 5p) ^2
1/ 25p^2
Simplify the rational expression. State any excluded values x + 4/ x^2 + 11x + 28
1/ x + 7 where x= -7, -4
Simplified Form (-7)^2
1/49
What is the simplified form of each expression? (9g^11)^-5
1/59049g^-55
What is the simplified form of each expression? x^-9/x^12
1/x^21
What is the simplified form of each expression? y^2(y ^7/6)^-6
1/y^5
What is the expression written using each base only once? 10^7 x 10^0 x 10^-6
10
Suppose that a sphere with radius 3a has the same volume as a cone of radius 5a. What is the height of the cone? Give your answer in terms of a. Use the formulas V= 4/3 pie radius squared and v= 1/3 pie radius squared h for he volumes of a sphere and cone respectively.
108/ 25 a
What is the sum or difference? 5x^4 + 5x^4
10x^4
Simplify the product using FOIL (4x + 4) (3x + 5)
12x^2+ 32x +20
Simplify the radical expression square root of 144x^8
12x^4
Simplify the radical expression - square root of 6 * 3 square root of 12
-18 square root of 2
What are the solutions of the equations z^2 + 4z + 3=0
-3, -1
Multiply state any excluded values q - 5/ -3 * -3q/ q-4
-3q^2 + 15q/ -3q + 12 where q= 0
Solve the equation using square roots x^2 - 36 =0
-6,6
What is the simplified form of each expression? (-4a^2b^6)(a^4b^4)^5
-64a^26b^38
Simplify the rational expression. State any excluded values x^2 - 100/ 10- x
-x - 10 where x= 10
Solve the equation using zero product property -8n(5n+2)=0
0, -2/5
What are the solutions of the equations c^2 - 3c =0
0,3
Simplified Form (-2.6)^0
1
Solve the equation using zero product property (4x-4) (6x+8)= 0
1, -1 1/3
Find the simplified form of the expression. Give your answer in scientific notation. (3 x 10^5) (4 x 10^3)
1.2 x 10^9
Simplify the rational expression. State any excluded values x^2- 6/ 16x - 2x^2
- x+8/2x where x= 0,8
Suppose a population of 10 crickets doubles in size every month. The function f(x) = 10 x 2^x gives the population after x months. How many crickets will there be after 2 years?
167,722,160 crickets
Last year, a large trucking company delivered 8.0 x 10^5 tons of goods with an average value of $26,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation.
2.08 x 10^10 dollars
A catapult launches a boulder with an upward velocity of 88 ft/s. The height of the boulder, h, in feet after t seconds is given by the fuction h= -16t^2 + 88t +30. How long does it take the boulder to reach its maximum height? What is the boulders maximum height? Round to the nearest hundredth, if necessary.
2.75 s; 151 ft
Simplify the product 2n(n^2+3n+4)
2n^3 + 6n^2 + 8n
Factor the polynomial 2x^3 + 4x^2 + 8x
2x(x^2+2x+4)
Simplify the expression 81^ 1/4
3
What is the simplified form of each expression? 3 square root of 27
3
Multiply y^2 - 9/ 5y * 3y/ y + 3
3 (y-3) / 5
Multiply k + 3/ 4k - 2 * (12k^2 - 3)
3(k + 3)(2k +1)/ 2
x^2 - x= 6
3, -2
What is the simplified form of each expression? (2m^2/9p^3)^5
32m^10/ 59049p^15
What is the simplified form of each expression? (k^2/ 6c^2) ^-2
36c^4/ k^4
What is a simpler form of the following expressions? (6p- 6) (6p +6)
36p^2 - 36
What is the simplified form of each expression? a^10 x 3a^8
3a^18
Simplified Form 3c^-2h^2
3h^2/c^2
Simplify the radical expression square root 80w^3/ 9
4w square root 5w/ 3
Simplify the difference (6w^2- 5w-6)- (2w^2 +4w-2)
4w^2-9w-4
Simplify the radical expression square root of 160x^5
4x^2 square root of 10x
Write the exponential expression 5x^5/7 in radical form
5^7 square root x^5
If an object is dropped from a height of 400 feet, the function h(t) =-16t^2 + 400 gives the height of the object after t seconds. When will the object hit the ground?
5s
Simplify the radical expression square root of 72
6 square root 2
What is the simplified form of each expression? (3q^11)^4
81q^44
What is the expression written using each base only once? 8^3 x 8^8
8^11
What is the simplified form of each expression? 4a^3 x b^9 x2a
8a^4b^9
What is the simplified form of each expression? a^12/a^8
a^4
What is the simplified form of each expression? (k^ 5/6) ^1/5
k^ 1/6