Algebra 1
Form B
Algebra 1 - Chapter 1 Test The following table shows car sales at a local car dealership for the first seven days of October. Day Sales 1.
1 3
2 4
3 6
4 7
5 9
6 10
7 12
(1 point)
Identify the independent and dependent variables in the October car sales table.
2.
Make up a counterexample for the statement.
(1 point)
Evaluate the following expression if x = 8, y = 8, and z = 8. x 2 y − 2z 4 Find the solution set for the inequality using the given replacement set. 3.
7.
If it is a day in July, then the temperature is over 90°. 8.
(1 point)
Name the sets of numbers to which each number belongs. 9.
Simplify the expression. If not possible, write simplified.
(1 point)
25
(1 point)
10.
12x − 4(−5x − 12) − 10
(1 point)
−6 6
Identify the hypothesis and conclusion of the statement. Then write the statement in if-then form. 5.
(1 point)
If x is a whole number, then x 3 > x .
x − 2 < 8 ; {7, 8, 9, 10, 11}
4.
(1 point)
(1 point)
Find the square root. Leave your answer as a fraction in simplest form. 11.
We are going to the movies Friday evening.
(2 points)
±
100 225
Graph each set of numbers on the number line. 6.
(1 point)
x > –4
Chapter 1 Test Page 1
Algebra 1
Form B Simplify the following expression, indcating the properties used in each step.
Solve each problem. 12.
(2 points)
A square has an area of 49 units 2. Find the side length and perimeter of the square.
14.
(2 points)
1 1 (2x + 8y) − x 4 2 15.
(2 points)
Find the area of the square ABCD if each small triangle has a base of 2.5 inches and height of 2.5 inches. 13.
(2 points)
Bill earns $55 more than Jack per day. Draw a graph showing Bill’s earnings as a function of Jack’s earnings. Hint: Determine the independent & dependent variables first.
EXTRA CREDIT For the following situation state what the independent and dependent variables are and then draw a graph to show the cost associated with renting various numbers of video games. Make sure to label all parts of the graph including the appropiate units. 16.
(2 points)
At Nicole’s Video Emporium, video club members rent video games for $1.50 per night. The club also charges an $18 annual membership fee. Annual Fee = $18 Rent = $1.50 each night per game
Chapter 1 Test Page 2
ID: B
Algebra 1 - Chapter 1 Test Answer Section 1. independent -- Day dependent -- Sales In the table, number of sales depends on the day of the first seven days of October. Therefore, Day is the independent variable and Sales is the dependent variable. 2. 124 Replace the variables with their values. Then find the value of the numerical expression using the order of operations. 3. {7, 8, 9} Replace the variable with each member of the replacement set. All values from the replacement set that make the inequality true are solutions. 4. 32x + 38 5. H: it is Friday evening C: we are going to the movies If it is Friday evening, then we are going to the movies. The hypothesis is the part of the conditional following the word if, and the conclusion is the part of the conditional following the word then.
6. Example: The number line shown is a graph of x > –7
7.
8.
9.
10.
The heavy arrow indicates that all numbers to the right of –7 are included in the graph. The open circle at –7 indicates that –7 is not included in the graph. July 17 -- 87° A counterexample is a specific case in which a statement is false. It takes only one counterexample to show that a statement is false. x=0 A counterexample is a specific case in which a statement is false. It takes only one counterexample to show that a statement is false. Real, rational, and integer The real numbers can be divided into rational numbers and irrational numbers. Rational numbers can be expressed as fractions and includes natural numbers, whole numbers, and integers. Irrational numbers cannot be expressed as fractions. Real, rational, and integer The real numbers can be divided into rational numbers and irrational numbers. Rational numbers can be expressed as fractions and includes natural numbers, whole numbers, and integers. Irrational numbers cannot be expressed as fractions.
Chapter 1 Test Page 1
ID: B 2
11. ± 3 A square root is one of two equal factors of a number. 12. Side length = 1 unit; Perimeter = 4 units The area of a square is equal to the product of its sides. A = s×s The perimeter of a square is equal to the sum of its four sides. P = s+s+s+s 13. Write a function representing the relation between Jack’s and Bill’s earning. Find the ordered pair ÊÁË x, y ˆ˜¯ for the function, and plot a graph for each x and y-value which corresponds to the x-axis and the y-axis respectively.
14.
1 1 (2x + 8y) − x; 4 2 1 1 1 = (2x) + (8y) − x 4 4 2
Distributive Property
=
1 1 x + 2y − x 2 2
Substitution
=
1 1 x − x + 2y 2 2
Commutative Property
= 2y
Additive Inverse & Identiy
15. 12.5 in 2 The area of a triangle is equal to one-half its base times its height. 1 A = bh 2 Calculate the area of the triangle and multiply by four to find the area of the square.
Chapter 1 Test Page 2
ID: B
16. Idependent Variable: Number of games Dependent Variable: cost Find the ordered pair ÊÁË x, y ˜ˆ¯ for the function, and plot a graph for each x and y-value which corresponds to the x-axis and the y-axis respectively.
Chapter 1 Test Page 3
