Algebra Semester 1

Unit 1

100

The square root of 100 is... (select all)

natural number, whole number, integer, rational, irrational

natural number, whole number, integer, rational

200

Simplify.

(x^3/4)²

x^6/4 = x^3/2 = square root of x³

300

How many significant digits are in the number 0.09108

4 

(Zeros to the left of the first nonzero digit in a decimal number between -1 and 1 are not significant)

400

Solve for x:

a(bx+c)=0

x = -c/b

500

Solve the compound inequality:

3x+7>10x+14 AND 9+2x>10+x

no solution

Unit 2

100

What are the x- and y-intercepts of the line:

-3x+5y=30

x-intercept (-10,0)

y-intercept (0,6)

200

Write the equation in point-slope form of a line that has slope -1/2 and goes through point (2, -6)

y+6=-1/2(x-2)

300

A line has an x-intercept at 4 and a y-intercept at -3. What is the equation of the line in standard form?

-3x+4y=-12 or

3x-4y=12

400

Fill in the blank so that the relation is a function

{(2,3), (4, 8), (9,-2), (2, ___)}

3

500

Write the inverse equation for the function

y=-4x+200

g(x)=-1/4x+50

Unit 3

100

What is the 6th term of the sequence?

g(1)=100,    g(n)=g(n-1)+10

150

200

A data point is (5,39). The equation for the line of fit is y=3.5x+20. What is the residual for this data point?

1.5

300

Write the equation of an absolute value function whose graph is translated 5 units to the left and 3 units up from the parent function f(x)=lxl

g(x) = lx+5l +3

400

l3+xl-2<6

-11<x<5

500

Margaret participates in a 5 hour race. The first 2 hours she kayaks 20 miles. The next 3 hours, she rides her bike 75 miles. Write a piecewise-defined function to represent her total distance over time.

f(x) = 10x if 0<x<=2

      = 25(x-2)+20 if 2<x<=5

or      25x-30 if 2<x<=5

      

Unit 4

100

Graph y<-2/3x+8

-y-intercept 8, slope -2/3 

-dashed line, shading below line

200

Solve using the method of your choosing. 

3x+y=14

x-3y=-2

(4,2)

300

Solve by graphing

-2x+2y=6

y=x+3

No Solution

400

Carl drives a delivery truck where he always takes the same two routes. In January, he drove Route A 7 times and Route B 13 times for a total of 636 miles. In February, he drove Route A 11 times and Route B 5 times for a total of 552 miles.

What is the length of each route?

Route A is 37 miles and Route B is 29 miles.

500

Mr. Snow has $24 and wants to buy at least 8 containers of yogurt. Large containers cost $4 each and small containers cost $2 each. 

Write a system of inequalities to represent the situation. Give 3 combinations of yogurt sizes he can buy if he plans to buy at least one of each size.

x+y>=8

4x+2y<=24

(3,5), (3,6), (2,6), (2,7), (2,8), (1,7), (1,8), (1,9), (1,10)