Algebra 1 Test 26

Note: either copy, paste into word document, print, and then solve, or copy by hand onto a piece of lined paper and then solve.

1. Edward and Diana walked to the dock at 3 miles per hour, jumped into a boat, and motored to the town of Dillon at 9 miles per hour. If the total distance (walking and boating) was 15 miles and the total time (walking and boating) took 4 hours, how far did they go by boat?
HINT: Distance = Rate x Time, Total Distance = Distance walking + Distance boating



2. Martha has a jar that contains 5 red marbles and 7 white marbles.
a. What is the probability of drawing 1 white marble, keeping it in her hand, and then drawing another white marble? (without replacement)


b. What is the probability of drawing 1 white marble, putting it back in the jar, and then drawing another white marble? (with replacement)


3. Christopher’s piggy bank contained $7.60 in nickels and pennies. If there were 40 m ore pennies than nickels, how many of each did he have in the piggy bank?
HINT: write one equation for the number of coins and other equation for the value of the coins



5. Find m: _1_ + _a_ = x note: 1/y is a fraction with "1" on top and "y" on bottom
y m

6. Find a: _ a_ - b = _ c_
x y

7. Solve for x: __ 2+x__ - _4_ = 0
x x

8. Solve for x: _3_ = _ 2__
2x x+6

9. Add (your answer will be a fraction): HINT: factor x2– 9 first
_ 3__ + _ 2x__ Note: "x2" is "x squared"
x2– 9 x – 3


10. Add (your answer will be a fraction): HINT: factor x2+5x+6 first
__ -x___ - __ 4x___ Note: "x2" is "x squared"
x+3 x2+5x+6

11. Graph on a number line all possible values of x: - /x/ + 3 < -1


15. Solve for x by factoring: x2 – 17x – 60 = 0 Note: "x2" is "x squared"


17. Given the points (3, -2) and (-1, 4):
a) find the slope of the line that passes through both points HINT: Slope is a fraction

b) find the distance between the line
HINT: graph the points, make a triangle, and use Pythagorean’s theorem