Download Algebra I Summer Homework

Algebra I Summer Homework
Name:________________________
Cluster:_________Math Section:______
1.) Evaluate: c(a + b) for a = 2, b = 5, c = 3
1.)___
2.) Solve: -3(x + 5) = 8x + 18
2.)___
3.) Graph: -3x = 5 – y
4.) Write the equation in standard form; y + 4 = 1.5(x – 4)
4.)_________
5.) Write in slope intercept form the equation of the line that is parallel to 3x + 7y = 4,
and passes through (5, -2)
5.)_________
6.) Solve the system:
x = 2y – 7
y – 3x = -9
7.) Solve: ∣4x + 3∣ = 9
6.)________
7.)________
8.) Graph the inequality
y> 3x – 2
9.) Simplify:
9a 2 bc 2
63a 4 bc
9.)________
10.) The measure of one side of a triangle is x²+7x + 9, and the second side is 5x² - 13x +
24. The perimeter of this triangle is 11x² - 29x + 10. Find an algebraic expression that
represents the measure of the third side.
10.)________
11.) 2x(x – 3) = 2(x² - 7) + 2
11.)________
12.) Factor: x² + 14x + 24
12.)________
13.) Solve: n²+ 25 = 10n
14.) Factor completely: x³- 4x² - 9x +36
13.)_____
14.)__________
15.) Write the equation of the axis of symmetry and state the vertex of the quadratic:
y = -3x² - 6x + 4
15.)__________
16.) Solve: 3k² + 2k = 5
16.)_______
17.) Simplify:
3
5 7
17.)_______
18.)
10
3
4
30
18.)________
19.) Find the distance between: (4, 7) and (4, -2)
19.)________
x  16
x  8 x  16
2
20.) Simplify:
2
20.)________
21.) (10x⁴ + 5x³ - x²) ÷ 5x³
21.)________
22.) Willy can type a 200 word essay in 6 hours. Myra can type the same essay in 4.5
hours, if they work together how long will it them to type the essay? SHOW WORK!
22.)________
23.) A bag of marbles contains 4 red, 6 blue, 4 yellow and 2 green marbles. Once a
marble is selected, it is NOT replaced. Find the probability of P(yellow, yellow)
23.)________
24.) There are two roads from Asheville to Boston, four roads from Boston to Quincy and
two roads from Quincy to Milton. How many different routes are there from Asheville to
Milton?
24.)________
25.) Given f(x) = 3x² - 5x + 4, find f(-3).
25.)________