Chapter 2

Algebra 1: Concepts and Skills · 593 exercises

Problem 42

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=x-8 $$

4 step solution

Problem 42

Evaluate the expression for the given value(s) of the variable(s). \(\frac{2-4 x}{y}\) when \(x=2\) and \(y=\frac{1}{2}\)

3 step solution

Problem 42

Use the distributive property to rewrite the expression without parentheses. $$ -2(x-6) $$

3 step solution

Problem 42

Find the sum. $$7+(-2)+(-9)$$

4 step solution

Problem 42

Evaluate the expression for the given value of the variable. \(3(-4)(n)\) when \(n=-2\)

3 step solution

Problem 42

Graph the numbers on a number line. \(\frac{1}{3}, \frac{3}{2}, \frac{11}{4}\)

3 step solution

Problem 43

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=12-x $$

4 step solution

Problem 43

Simplify the expression. $$ \frac{18 x-9}{3} $$

2 step solution

Problem 43

Use the distributive property to rewrite the expression without parentheses. $$ -(1+s) $$

3 step solution

Problem 43

Find the sum. $$8+(-4)+(-4)$$

3 step solution

Problem 43

Evaluate the expression for the given value of the variable. \(-3(-a)(-a)\) when \(a=-7\)

3 step solution

Problem 43

Determine whether to use a positive or a negative number to represent the velocity. The velocity of a descending hot-air balloon

3 step solution

Problem 43

Graph the numbers on a number line. \(\frac{9}{10},-\frac{2}{5},-\frac{8}{3}\)

5 step solution

Problem 44

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=-x-(-5) $$

6 step solution

Problem 44

Simplify the expression. $$ \frac{22 r+10}{-2} $$

2 step solution

Problem 44

Use the distributive property to rewrite the expression without parentheses. $$ (2+t)(-2) $$

3 step solution

Problem 44

Find the sum. $$-24.5+6+8$$

3 step solution

Problem 44

Evaluate the expression for the given value of the variable. \(9(-2)(-r)^{3}\) when \(r=2\)

3 step solution

Problem 44

Determine whether to use a positive or a negative number to represent the velocity. The velocity of a rising rocket

2 step solution

Problem 44

Write the numbers in increasing order. \(4.6,0.7,-4,-1.8,3,-0.6\)

3 step solution

Problem 45

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=-8.5-x $$

5 step solution

Problem 45

Simplify the expression. $$ \frac{-56+h}{-8} $$

4 step solution

Problem 45

A train with 150 freight cars is fully loaded with two types of grain. Each freight car can haul 90.25 tons of barley or 114 tons of corn. Let n represent the number of freight cars containing corn. Which function correctly represents the total weight W the train can haul? $$\text { A. } W=90.25(150-n)+114 n$$ $$\text { B. } W=90.25 n+114(150-n)$$

3 step solution

Problem 45

Use the distributive property to rewrite the expression without parentheses. $$ (y+9)(-1) $$

2 step solution

Problem 45

Find the sum. $$5.4+2.6+(-3)$$

2 step solution

Problem 45

Evaluate the expression for the given value of the variable. \(-4.1(-5)(h)\) when \(h=2\)

2 step solution

Problem 45

Determine whether to use a positive or a negative number to represent the velocity. The velocity of a kite as it lifts into the air

2 step solution

Problem 45

Write the numbers in increasing order. \(-0.3,0.2,0,2.0,-0.2,-3.0\)

3 step solution

Problem 46

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=-x-12.1 $$

6 step solution

Problem 46

Simplify the expression. $$ \frac{45-5 n}{5} $$

3 step solution

Problem 46

A train with 150 freight cars is fully loaded with two types of grain. Each freight car can haul 90.25 tons of barley or 114 tons of corn. Let n represent the number of freight cars containing corn. Simplify the correct function.

5 step solution

Problem 46

Use the distributive property to rewrite the expression without parentheses. $$(x-4)(-3)$$

2 step solution

Problem 46

Find the sum. $$2.2+(-2.2)+(2.2)$$

3 step solution

Problem 46

Evaluate the expression for the given value of the variable. \(-2\left(\frac{11}{2}\right)(t)\) when \(t=-3\)

3 step solution

Problem 46

Determine whether to use a positive or a negative number to represent the velocity. The velocity of a falling meteorite

3 step solution

Problem 46

Write the numbers in increasing order. \(6.3,-6.8,-6.1,6.1,-6.2,6.7\)

3 step solution

Problem 47

Evaluate the function when \(x=-2,-1,0\) and \(1 .\) Organize your results in a table. $$ y=x-\frac{1}{2} $$

5 step solution

Problem 47

Simplify the expression. $$ \frac{-44-8 t}{-4} $$

4 step solution

Problem 47

A train with 150 freight cars is fully loaded with two types of grain. Each freight car can haul 90.25 tons of barley or 114 tons of corn. Let n represent the number of freight cars containing corn. If 90 freight cars contain corn, what is the total weight the train is hauling?

4 step solution

Problem 47

Use the distributive property to rewrite the expression without parentheses. $$ -6(4 a+3) $$

4 step solution

Problem 47

Find the sum. $$4+\frac{1}{10}+\left(-\frac{1}{10}\right)$$

3 step solution

Problem 47

Determine whether the statement is true or false. If it is false, give a counterexample. \((-a) \cdot(-b)=(-b) \cdot(-a)\)

3 step solution

Problem 47

Write the numbers in increasing order. \(\frac{9}{2}, 3.4,4.1,-5.2,-5.1,-\frac{10}{4}\)

3 step solution

Problem 48

Find the terms of the expression. $$ -4-y $$

2 step solution

Problem 48

Simplify the expression. $$ \frac{60 y-108}{12} $$

3 step solution

Problem 48

You have 8 moving boxes that you can use to pack for college. Each box can hold 15 pounds of clothing or 60 pounds of books. Let c be the number of boxes that contain clothing. Write a function that gives the total pounds T of the boxes in terms of the number of boxes that contain clothing.

3 step solution

Problem 48

Use the distributive property to rewrite the expression without parentheses. $$ (9 x+1)(-7) $$

3 step solution

Problem 48

Determine whether the statement is true or false. If it is false, give a counterexample. The product \((-a) \cdot(-1)\) is always positive.

3 step solution

Problem 48

Find the sum. $$9+(-4)+\left(-\frac{1}{2}\right)$$

4 step solution

Problem 48

Write the numbers in increasing order. \(7,-\frac{1}{2}, 2,-\frac{3}{4},-5, \frac{1}{6}\)

5 step solution

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