Algebra Terminology Worksheet With You Tube Links-1 PDF

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Summary

Worksheet: Important Terminology in Introductory Algebra
Algebraic expressions, terms, and pronumerals/variables are explored with several practice questions to help students improve their skills....

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1A Terminology https://youtu.be/R6BieZPdKHg The algebraic expression below has four terms and three pronumerals/variables

3𝑎 − 4𝑏 + 𝑐 + 10 Coefficient of a is 3

Constant term

Coefficient of c is 1 Coefficient of b is −4

Notes:

Example 1 https://youtu.be/r4RUcgg1AyM For the following algebraic expression: 3𝑝 − 6𝑞 − 𝑟 +

2𝑠 − 12 5

(a)

How many terms does it have?

(b)

What is the 3rd term?

(c)

What is the coefficient of p?

(d)

(e)

What is the constant term?

(f)

How many different pronumerals do we have? What is the 2nd term?

(g)

What is the coefficient of r?

(h)

What is another word for pronumeral?

(i)

Which pronumeral has a coefficient of −6? What hidden operation is between the 2𝑠 and the 5?

(j)

What hidden operation is between the 3 and the p? What is the coefficient of s?

(k)

(l)

Question 1 For the following algebraic expression: 7𝑥 + 𝑦 −

3𝑧 +5 4

(a)

How many terms does it have?

(b)

What is the 2nd term?

(c)

What is the coefficient of x?

(d)

(e)

What is the constant term?

(f)

How many different pronumerals do we have? What is the 3rd term?

(g)

What hidden operation is between the 7 and the x? Which pronumeral has a coefficient of 1?

(h)

What is another word for pronumeral?

(j)

What hidden operation is between the 3𝑧 and the 4?

(l)

The terms are separated by what operation(s)? What is the coefficient of z?

(i) (k)

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Example 2 https://youtu.be/iOjZJMeTMQg Write the following statements as an algebraic expression without using the × or ÷ symbols. (a) The sum of x and 2. (b)

The quotient of z and 7.

(c)

Subtract 5 from triple the value of y.

(d)

10 is added to one-third of a.

Word problems help sheet – the following link will help you with the word problems below https://drive.google.com/file/d/1WakLXEbTHwAT1PgFG0lfldwGvm94PjzH/view?usp=sharing

Question 2 Write the following statements as an algebraic expression without using the × or ÷ symbols. (a) Subtract 10 from a. (b)

6 more than b.

(c)

The product of 12 and c.

(d)

8 less than d.

(e)

The sum of 2x and 9.

(f)

The quotient of y and z.

(g)

The sum of 7 and triple the value of g.

(h)

13 is subtracted from one-half of h.

(i)

The product of 5 and k, divided by 10

(j)

The sum of e and 1, divided by f.

(k)

The sum of p and q, multiplied by 3.

(l)

The product of 5, x and y, divided by z.

(m) A quarter of m, subtracted from two-fifths of n. (n)

The square of x.

Question 3 Jane makes $23 an hour working at Clothes’R’us. She works x hours this week. Write an algebraic expression that shows how much money she makes. Question 4 Pens cost $p and exercise books cost $b. Write an algebraic expression that represents the cost of purchasing 20 pens and 8 exercise books. Question 5 Gerald is an electrician. He charges a callout fee of $100 and charges $80/hr. Represent the cost of hiring Gerald for h hours using an algebraic expression.

Question 6 We are told that x is a negative number. Circle the correct response below (either negative or positive). a) 4𝑥 is a negative/positive number b) 1 − 𝑥 is a negative/positive number https://www.youtube.com/user/benjodgers

Solutions Chapter 1A 3𝑧 Q1 – (a) 4 (b) 𝑦 (c) 7 (d) 3 (e) 5 (f) − (g) multiplication (×) (h) variable 4

(i) 𝑦 (j) + or − (k) division (÷) (l) −

3 4

Q2 – (a) 𝑎 − 10 (b) 𝑏 + 6 or 6 + 𝑏 (c) 12𝑐 (d) 𝑑 − 8 (e) 2𝑥 + 9 or 9 + 2𝑥 𝑦 ℎ 5𝑘 𝑒+1 5𝑥𝑦 (f) (g) 3𝑔 + 7 or 7 + 3𝑔 (h) − 13 (i) (j) (k) 3(𝑝 + 𝑞) (l) 𝑧 𝑧 2 10 𝑓 (m)

2𝑛 5

−

𝑚 4

(n) 𝑥 2

Q3 – $23𝑥 Q4 – $20𝑝 + $8𝑏 or $(20𝑝 + 8𝑏) Q5 – $80ℎ + $100 or $100 + $80ℎ Q6 – (a) negative (b) positive

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