The Math Challenge - Algebra I First Semester Baseline Challenge

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1.

Nancy’s age is 5 less than twice Karl’s age.

If Karl’s age is represented with k, which expression can represent Nancy’s age?

a)
5 - 2k
b)
2 (k - 5)
c)
2k - 5
d)
2 (5 - k)

2.

Assume a linear equation fits the following situation.

At the time of planting a beautiful Empress tree is 5 ft. tall.

Three years later the tree is 20 feet tall.

Predict the height of the tree 10 years after planting it in your back yard.

a)
50 feet
b)
55 feet
c)
80 feet
d)
88.3 feet

3.

Which of the four equations shown is the equation of line a?

a)
Equation A
b)
Equation B
c)
Equation C
d)
Equation D

4.

Solve the compound inequality:

 3x – 1 > 5 and x + 5 < 10
a)
x < 2 or x > 5
b)
2 > x > 5
c)
x > 2 or x < 5
d)
2 < x < 5

5.

At the local movie theater, senior citizens (aged 65 and older) and children under the age of 10 receive a discount of four dollars for the evening showing.

The cinema also allows children under the age of 5 to get in for free.

Which of the following graphs represent the patrons that receive a discount of four dollars?

a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D

6.

Which of the following is a correct way to solve the equation below?

a)
Subtract 3 and then multiply by 2
b)
Add 3 and then by multiply 2
c)
Subtract 3 and then divide by 2
d)
Add 3 and then divide by 2

7.

Liang’s cell phone plan included 500 anytime minutes.

When she wanted to get a new plan, she was offered a 20% increase in minutes for the same price of \$59.99.

After a six month trial period, the wireless company would decrease the anytime minutes 20%.

How many minutes would be on her plan after the six months trial?

a)
600 minutes
b)
500 minutes
c)
480 minutes
d)
400 minutes

8.

The product of the numbers represented by points C and D on the line below is best represented by which point?

a)
Point A
b)
Point B
c)
Point E
d)
Point F

9.

a)
Point A
b)
Point B
c)
Point C
d)
Point D

10.

Duane wants to travel from his home to Beach City which is approximately 250 miles away.

He plans to leave at 8:00 a.m. and stop at his friend Holly’s house along the way for 2 hours.

If he wants to arrive in Beach City by 3:30 p.m. that afternoon, approximately what speed must he average while driving on the trip?

a)
33 miles per hour
b)
45 miles per hour
c)
55 miles per hour
d)
56 miles per hour