Section 1
Introduction to Algebraic Expressions
Classify each equation or inequality as true or false.$$2.3=2.31$$
Classify each equation or inequality as true or false.$$-3 \geq-3$$
Classify each equation or inequality as true or false.$$-10<-1$$
Classify each equation or inequality as true or false.$$0 \leq-1$$
Classify each equation or inequality as true or false.$$0>-5$$
Classify each equation or inequality as true or false.$$\frac{1}{10}=0.1$$
Find each absolute value.$$|4|$$
Find each absolute value.$$\left|\frac{11}{4}\right|$$
Find each absolute value.$$|-1.3|$$
Find each absolute value.$$|-105|$$
Simplify.$$(-13)+(-12)$$
Simplify.$$3-(-2)$$
Simplify.$$-\frac{1}{3}-\frac{2}{5}$$
Simplify.$$\frac{3}{8} \div \frac{3}{5}$$
Simplify.$$4.2-10.7$$
Simplify.$$(-1.3)(2.8)$$
Simplify.$$-15+0$$
Simplify.$$\left(-\frac{1}{2}\right)+\frac{1}{8}$$
Simplify.$$0 \div(-10)$$
Simplify.$$0-32$$
Simplify.$$\left(-\frac{3}{10}\right)+\left(-\frac{1}{5}\right)$$
Simplify.$$\left(-\frac{4}{7}\right)\left(\frac{7}{4}\right)$$
Simplify.$$-3.8+9.6$$
Simplify.$$-0.01+1$$
Simplify.$$(-12) \div 4$$
Simplify.$$(-87)(0)$$
Simplify.$$32-(-7)$$
Simplify.$$-100+35$$
Simplify.$$(-10)(-17.5)$$
Simplify.$$-10-2.68$$
Simplify.$$(-68)+36$$
Simplify.$$175 \div(-25)$$
Simplify.$$2+(-3)+7+10$$
Simplify.$$-5+(-15)+13+(-1)$$
Simplify.$$3 \cdot(-2) \cdot(-1) \cdot(-1)$$
Simplify.$$(-6) \cdot(-5) \cdot(-4) \cdot(-3) \cdot(-2) \cdot(-1)$$
Simplify.$$(-1)^{4}+2^{3}$$
Simplify.$$(-1)^{5}+2^{4}$$
Simplify.$$2 \cdot 6-3 \cdot 5$$
Simplify.$$12 \div 4+15 \div 3$$
Simplify.$$3-(2 \cdot 4+11)$$
Simplify.$$3-11+2 \cdot 4$$
Simplify.$4 \cdot 5^{2}$
Simplify.$$7 \cdot 2^{3}$$
Simplify.$$25-8 \cdot 3+1$$
Simplify.$$12-16 \cdot 5+4$$
Simplify.$$2-\left(3^{3}+16 \div(-2)^{3}\right)$$
Simplify.$$-7-\left(8+10 \cdot 2^{2}\right)$$
Simplify.$$|6(-3)|+|(-2)(-9)|$$
Simplify.$$3-|2-7+4|$$
Simplify.$$\frac{7000+(-10)^{3}}{10^{2} \cdot(2+4)}$$
Simplify.$$\frac{3-2 \cdot 6-5}{2(3+7)^{2}}$$
Simplify.$$2+8 \div 2 \cdot 2$$
Simplify.$$2+8 \div(2 \cdot 2)$$
Evaluate.$y-x,$ for $x=10$ and $y=3$
Evaluate.$n-2 m,$ for $m=6$ and $n=11$
Evaluate.$$-3-x^{2}+12 x, \text { for } x=5$$
Evaluate.$$14+(y-5)^{2}-12 \div y, \text { for } y=-2$$
Evaluate.The area of a parallelogram with base $b$ and height $h$ is $b h$. Find the area of the parallelogram when the height is $3.5 \mathrm{cm}$ and the base is $8 \mathrm{cm} .$(GRAPH CANT COPY)
Evaluate.The area of a triangle with base $b$ and height $h$ is $\frac{1}{2} b h .$ Find the area of the triangle when the height is 2 in. and the base is 6.2 in.(GRAPH CANT COPY)
Multiply.$$4(2 x+7)$$
Multiply.$$3(5 y+1)$$
Multiply.$$-2(15-3 x)$$
Multiply.$$-7(3 x-5)$$
Multiply.$$2(4 a+6 b-3 c)$$
Multiply.$$5(8 p+q-5 r)$$
Multiply.$$-3(2 x-y+z)$$
Multiply.$$-10(-6-y-z)$$
Factor.$$8 x+6 y$$
Factor.$$7 p+14 q$$
Factor.$$3+3 w$$
Factor.$$4 x+4 y$$
Factor.$$10 x+50 y+100$$
Factor.$$81 p+27 q+9$$
Combine like terms.$$3 p-2 p$$
Combine like terms.$$4 x+3 x$$
Combine like terms.$$4 m+10-5 m+12$$
Combine like terms.$$3 a-4 b-5 b-6 a$$
Combine like terms.$$-6 x+7+9 x$$
Combine like terms.$$16 r+(-7 r)+3 s$$
Remove parentheses and simplify.$$2 p-(7-4 p)$$
Remove parentheses and simplify.$$4 r-(3 r+5)$$
Remove parentheses and simplify.$$6 x+5 y-7(x-y)$$
Remove parentheses and simplify.$$14 m-6(2 n-3 m)+n$$
Remove parentheses and simplify.$$6[2 a+4(a-2 b)]$$
Remove parentheses and simplify.$$2[2 a+1-(3 a-6)]$$
Remove parentheses and simplify.$$3-2[5(x-10 y)-(3+2 y)]$$
Remove parentheses and simplify.$$7-4[2(3-2 x)-5(4 x-3)]$$
Determine whether the given number is a solution of the given equation.$$4 ; 3 x-2=10$$
Determine whether the given number is a solution of the given equation.$$12 ; 100=4 x+50$$
Determine whether the given number is a solution of the given equation.$$-3 ; 4-x=1$$
Determine whether the given number is a solution of the given equation.$$-1 ; 2=5+3 x$$
Determine whether the given number is a solution of the given equation.$$4.6 ; \frac{x}{2}=2.3$$
Determine whether the given number is a solution of the given equation.$$144 ; \frac{x}{9}=16$$
Translate each problem to an equation. Do not solve.Three times what number is $348 ?$
Translate each problem to an equation. Do not solve.What number added to 256 is $113 ?$
Translate each problem to an equation. Do not solve.A McDonald's Big Mac contains 500 calories. This is 69 more calories than a Taco Bell Beef Burrito provides. How many calories are in a Taco Bell Beef Burrito?
Translate each problem to an equation. Do not solve.The average U.S. citizen consumes 296 servings of Coca-Cola each year. This is 7.4 times the international average. What is the international average per capita consumption of Coke?
Translate each problem to an equation. Do not solve.It takes 42 gal of water to produce 1 lb of broccoli. This is twice the amount of water used to produce 1 16 of lettuce. How many gallons of water does it take to produce 1 lb of lettuce?
Translate each problem to an equation. Do not solve.The average annual cost for badminton is $\$ 12 .$ This is $\$ 458$ less than the average annual cost for scuba diving. What is the average annual cost for scuba diving?